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    2024,22(11):1-9, DOI: 10.6052/1672-6553-2024-036
    Abstract:
    An irregular discrete element simulation method using signed distance field (SDF) to detect the contact between particles is proposed to analyze the dynamic behavior of irregular particle systems. The contact detection of irregular particles is the key difficulty. In the coarse detection stage, the neighbor particles were retrieved by the spatial sorting method. In fine contact detection, the SDF implicit function is used to describe the irregular shape of the particles, and the signed distance of the voxel grid generated on the surface of the particles is linearly interpolated to extract the contact characteristics of the particles efficiently. The effectiveness of the proposed method is verified by the comparison between numerical simulation and experiment of particle collapse.
    2024,22(11):10-19, DOI: 10.6052/1672-6553-2024-037
    Abstract:
    Considering the time optimization for robotic manipulator trajectory planning, the motion trajectory of 6R serial robotic manipulator is analyzed and studied. According to the robot kinematic characteristics, a time-optimal method based on the improved particle swarm algorithm is proposed with adopting the polynomial curve trajectory combined with the particle swarm optimization notion. The kinematic model of the robotic manipulator is constructed by the method of screw theory, and the joint trajectory is constructed by using the quintic polynomial curve in the joint space, and the optimal time sequence is solved by the improved PSO algorithm with minimizing running time as the objective function to complete the optimization of the trajectory. In the algorithm parameter setting, adaptive inertia weight factor and dynamic learning factor strategy are used to improve the standard particle swarm algorithm, which improves the search speed and global convergence ability of the algorithm. The effectiveness of the planning method based on the improved PSO optimization algorithm and the quintic polynomial function is verified by the optimization results using the handling condition as a simulation example. The results show that the method can ensure that the angular displacement, angular velocity and angular acceleration curves of each joint of the robotic manipulator are continuously smooth without sudden changes, and reduce the running time from 7.2 s to 6.64 s, with an overall runtime improvement of about 8.43% over the before optimization, which effectively improves the efficiency and smoothness of the robotic manipulator operation.
    2024,22(11):20-27, DOI: 10.6052/1672-6553-2024-034
    Abstract:
    The parameter adaptive adjustment of automobile active suspension controller has always been a research hotspot in the field of automobile suspension control. In this paper, the whale optimization algorithm is selected as the parameter adjustment algorithm of the controller, and the improvement strategy of the algorithm is proposed. Based on this, a parameter self-tuning PID controller based on the improved whale optimization algorithm is designed. Based on the suspension dynamic deflection, body vertical acceleration and wheel dynamic displacement, the dimensionless evaluation index is built to feed back to the improved whale algorithm to adjust the controller parameters in real time. In order to verify the effectiveness of the controller, the simulation model of active suspension system is established and compared with different active suspension systems in transverse and longitudinal aspects. The simulation results show that the controller proposed in this paper can obviously improve the ride comfort, ride stability and ride comfort of the vehicle.
    2024,22(11):28-37, DOI: 10.6052/1672-6553-2024-068
    Abstract:
    The fuel rods in high temperature gas reactor face a great axial temperature gradient, and the heat transfer of pellets will change the material characteristics of the fuel rods on the one hand. On the other hand, the gas has obvious thermal expansion under the influence of a heat source, which makes the fluid structure interaction of the fuel rods more complicated. In order to study the dynamic stability of fuel rods excited by high-temperature and high-speed axial gas, the spatial temperature distribution of fuel rod cladding is solved, and the thermodynamic coupling control equation of fuel rods was derived. The instability boundary of the fuel rod is defined by using the eigenvalue distribution of Jacobian matrix, and the effects of the maximum heat source line power density, inlet temperature and thermal expansion on the first critical mass flow rate of the fuel rod are obtained. The results show that the maximum heat source line power density has little influence on the first critical mass flow rate of the fuel rods, and the higher the inlet temperature, the smaller the first critical mass flow rate. Considering the thermal expansion of gas, the maximum heat source line power density and inlet temperature are negatively related to the first critical mass flow rate. If the thermal expansion effect of gas is not considered, the first critical mass flow rate of fuel rod will be overestimated.
    2024,22(11):38-46, DOI: 10.6052/1672-6553-2024-042
    Abstract:
    Based on a stiffness system consisting of an air spring and a negative stiffness spring connected in parallel, a single-degree-of-freedom 1/4 vehicle suspension model was established. The continuation shooting method was applied to track the periodic solutions of the suspension system, and their stability was determined by the Floquet theory. The basin of the system were depicted using the principle of cell mapping, and the evolution of the basin under different parameters was analyzed. The results show that the suspension system exhibits local bifurcation behaviors such as saddle-node bifurcation and period-doubling bifurcation under periodic excitation. The study reveals that the transition from periodic solutions to chaos in the system is mainly associated with Ι-type intermittent related to saddle-node bifurcation . When the unstable periodic orbit collides with the chaotic attractor, the system will produce dynamic behavior such as boundary crisis and internal crisis, which will cause the chaotic attractor to disappear and become larger.
    2024,22(11):47-57, DOI: 10.6052/1672-6553-2024-041
    Abstract:
    Time delays (TDs) in the active electromagnetic levitation system significantly affect the running stability and ride comfort of Maglev trains, so it is a critical issue for the technical reform of the speed-up electromagnetically suspended Maglev trains. In this paper, a Smith predictor is employed to compensate for the TD in the electromagnetic levitation system. Simultaneously, a linear active disturbance rejection controller (LADRC) is introduced to estimate and compensate for the errors between the predicted TD and actual TDs as internal disturbances. In this way, we developed a Smith-LADRC levitation controller with the time-delay compensation and active disturbance rejection capabilities. Subsequently, vertical dynamic response of maglev vehicles adopting respectively PID, LADRC, Smith-PID, and Smith-LADRC control algorithm are simulated, and the TD thresholds for stable levitation are compared. The results confirm that the Smith-LADRC levitation controller exhibits the stronger time-delay compensation and anti-disturbance capabilities. Finally, the influence of Smith-LADRC controller parameters on dynamic performances of maglev vehicle is investigated. By balancing the TD stability margin and the fluctuation amplitude of levitation gap, optimal ranges for the controller bandwidth, the observer bandwidth and the controller gain of LADRC are presented.
    2024,22(11):58-64, DOI: 10.6052/1672-6553-2024-050
    Abstract:
    In harvesting wideband and weak vibration energy in practical environments, classical piezoelectric energy harvesters often can’t give a high electric output. To overcome this limitation, we introduce a novel design of tree-like tri-fork vibration energy harvester with piezoelectric patches bonded to the clamped end. Under base excitations, the harvester is expected to be able to produce large amplitudes and electric outputs. Firstly, the mathematical model is established, and corresponding simulations are conducted. Then, the prototype was fabricated and validation experiments are carried out. The experimental results prove that under wideband stochastic excitations, the harvester can oscillate with a large amplitude and produce large output. Based on the results, we upgrade the structure by adding a mass on the tip of middle beam, the inertial force produced by the tip mass under excitation can drive the tri-fork beam to generate large vibration and output. Corresponding experiments were carried out to verify the improved structure. The results show that with the change in structure, the electric output increases dramatically for the same excitation intensity. For the stochastic excitation of PSD=0.045g2/Hz, across a piezoelectric patch featuring the size of 20mm×10mm×2mm, the structure with the middle tip mass can produce an output of RMS power of 61.72μW, about 2.32 times that without the tip mass.
    2024,22(11):65-71, DOI: 10.6052/1672-6553-2024-051
    Abstract:
    A linear parameter-varying (LPV) robust attitude control method based on output feedback is proposed to solve the attitude control problem of space unmanned platform carrying rotating flexible solar panels. Firstly, the LPV model of attitude dynamics is established by taking solar panel angle as scheduling parameter. Taking the upper limit of the quadratic control index as the optimization index, the LPV output feedback controller is obtained by linear matrix inequality (LMI) method considering the limited input and change rate of the attitude control signal and the difficult observation of the flexible vibration in actual working conditions. Flexible vibration information is not needed by obtained controller. Platform attitude angles and attitude angular velocities are taken as feedback signals, which can maintain the robust stability of platform attitude and effectively suppress the flexible vibration of the windsurfing board under the condition that the windsurfing angle changes in a wide range, and has good parameter adaptability and anti-interference ability. Finally, the proposed LPV attitude control method for unmanned space platform is verified by numerical method.
    2024,22(11):72-81, DOI: 10.6052/1672-6553-2024-062
    Abstract:
    In order to generate the coexisting attractor, a new Chen system is constructed by adding a product term to the first equation of Chen system, and each equation has a nonlinear term. Matlab simulation shows that the new Chen system is not only the coexistence attractor phenomenon of various types, but also the inverse periodic bifurcation phenomenon and abundant chaotic characteristics. For the application of the new Chen system,the simulator circuit and STM32 digital circuit are designed, and the numerical simulation is consistent with the physical experiment.
    2024,22(11):82-90, DOI: 10.6052/1672-6553-2024-038
    Abstract:
    To investigate the wind resistance performance of the low-tower steel truss cable-stayed bridge with a main span of (84+144+228+240+300+120+60) m under the design wind speed, wind tunnel tests were selected as the primary research method. Segment model tests and full-bridge aeroelastic model tests were conducted to measure the wind loads and wind-induced responses of the Jiyang Yellow River Bridge in both the completed state and typical construction conditions, and the results were compared with bridge wind resistance codes. Elastic suspension segment model vibration wind tunnel test results revealed that the flutter and vortex-induced resonance performance of the main beam meets the wind resistance safety requirements. The full-bridge tests concluded that no flutter or vortex-induced vibration of the main beam was observed in the wind speed range of 0~110 m/s, nor were any static instability conditions detected. Moreover, the displacement response of the main beam satisfied both the safety and comfort requirements, thus further verifying the bridge’s wind resistance performance. The wind resistance experimental study of the steel truss bridge provides a substantial basis for design verification and can also serve as a reference for similar steel truss construction projects.
    2024,22(11):91-96, DOI: 10.6052/1672-6553-2024-016
    Abstract:
    The relevant theories and principles of structural dynamic characteristics are more and more widely used in various engineering fields, but the understanding and mastery of their basic concepts and principles still need to be further promoted. Some basic concepts seem to be very basic and perfect, but without accurate understanding and mastery, it is difficult to apply them to engineering practice scientifically. Based on theoretical analysis, some common problems in structural dynamics, such as structural natural frequency and circular frequency, structural first natural frequency and fundamental frequency, structural damping and modal damping ratio of multi-degree-of-freedom system, application of natural frequency in bridge technical state evaluation, Rayleigh quotient annotation and so on, are deeply analyzed and analyzed, and some basic concepts are clarified. It makes the theoretical system of structural dynamics more complete.
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    2014,12(3):269-273, DOI: 10.6052/1672-6553-2014-043
    [Abstract] (3331) [HTML] (0) [PDF 336.30 K] (20928)
    Abstract:
    Aiming at the problem that the longitudinal modes of structural system of rocket need to be identified from its integral modes in engineering, a method that automatically identifies the longitudinal modes of structural system of rocket was proposed according to the theory of modal effective mass. Taking the vibration characteristics of system with lumped mass as a computing example, applying the finite element software, the beam model of system with lumped mass was established, and the longitudinal modes of the system were automatically identified based on the method. Compared with the system modal information calculated by the method of modal analysis, this automatic identification method not only can accurately identify the longitudinal modes of vibrating system, but also has automatic and high efficiency identification feature. It provides a theoretical basis for the dynamic model of POGO vibrating system in liquid rockets and other model of engineering systems to be accurately and promptly established.
    2014,12(3):193-200, DOI: 10.6052/1672-6553-2014-046
    [Abstract] (3147) [HTML] (0) [PDF 748.46 K] (18347)
    Abstract:
    The spacecraft's ability to adapt to the harsh dynamics environment is critical for the whole space mission. Vibration test control technology is the key part of the dynamic environment test. The current progress, fundamental principles and key techniques development level of the spacecraft and vibration control algorithms overseas were analyzed. The basic ideas, effective ways and suggestions were given to domestic following research.
    2017,15(5):385-405, DOI: 10.6052/1672-6553-2017-039
    [Abstract] (1932) [HTML] (0) [PDF 1.91 M] (18222)
    Abstract:
    In this review article, the growth and related academic communications in the dynamics of multibody systems are firstly surveyed. Then, the recent advances in the numerical algorithms for solving the dynamic equations of flexible multibody systems, the contact/impact dynamics of flexible multibody systems and the deployment of flexible space structures are systematically reviewed, together with several open problems of concern. Finally, some suggestions are made for the prospective researches on the dynamics of flexible multibody systems.
    2014,12(1):18-23, DOI: 10.6052/1672-6553-2013-068
    [Abstract] (3073) [HTML] (0) [PDF 1.13 M] (17904)
    Abstract:
    The electromechanical coupling model of cantilevered piezoelectric harvester was developed by considering the nonlinearities of piezoelectric material, based on Hamilton theory, Rayleigh-Ritz method, Euler-Bernoulli beam theory and constant electrical field across the piezoelectric element. The response characteristics of the system were investigated numerically, and the influences of piezoelectric material nonlinear coefficient on the system response were analyzed. By exploring the nonlinear characteristics of the piezoelectric vibrator near the resonant frequency, the nature of the multi-solutions and jump phenomena in the resonance region was revealed. The results were verified experimentally. which provides a theoretical basis for the study of nonlinear mechanism of piezoelectric power generation system.
    2014,12(3):243-247, DOI: 10.6052/1672-6553-2014-054
    [Abstract] (2472) [HTML] (0) [PDF 1.07 M] (17484)
    Abstract:
    Random vibration test is very important to the aerospace equipment. The windage of ASD outside the frequency bandwidth was analyzed. The reason, premonition, affection and effective way were given. And the commonly used random vibration test and vibration test metrology standard for the ASD outside the frequency bandwidth were analyzed.
    2016,14(2):97-108, DOI: 10.6052/1672-6553-2015-009
    [Abstract] (2460) [HTML] (0) [PDF 1.87 M] (17310)
    Abstract:
    Based on the current research status of multi agents system control theory and technology, the paper makes a detailed overview for unmanned ground systems. From two aspects of behaviour and task cooperative control for multi agents, the relevant theory and application problem is discussed. Moreover, some existed open problems are presented and a possible future development is proposed. For unmanned ground systems, cooperative control will be of great importance in promoting social and military benefits and maximizing the executive function of ground mission.
    2015,13(5):361-366, DOI: 10.6052/1672-6553-2014-064
    [Abstract] (1261) [HTML] (0) [PDF 826.19 K] (17288)
    Abstract:
    Dynamic and control systems often contain uncertain parameters that may result in uncertain predictions. In the interest of quantifying the effects of parameter uncertainties on response variability, this paper develops a stochastic response surface based method for the sensitivity analysis of uncertain parameters. Stochastic response surfaces were firstly constructed to describe the explicit relationships between uncertain parameters and responses. Then partial derivations were performed on the mathematical expressions of stochastic response surfaces in order to obtain sensitivity indices that simultaneously embody the effects of parameter means and standard deviations. Lastly, the developed method has been verified against a numerical cantilever beam containing uncertain geometric and material parameters. The sensitivity analysis results were compared with those given by the analysis of variance method.
    2014,12(3):225-229, DOI: 10.6052/1672-6553-2014-051
    [Abstract] (2437) [HTML] (0) [PDF 1.38 M] (17104)
    Abstract:
    Based on the staggered solution procedure of ANSYS and CFX software, the fluid structure coupling response of projectile during tail slapping has been researched. Structural response was simulated by using FEM and flow field was simulated by using inhomogeneous model and SST turbulence model. Finally, the influences of fluid structure coupling effect have been analyzed and the change law of body stress has been given.
    2013,11(1):12-19, DOI: 10.6052/1672-6553-2013-003
    [Abstract] (2410) [HTML] (0) [PDF 530.95 K] (16976)
    Abstract:
    The dynamics of the whole aero-engine system has always been the important part that cannot be neglected in the research and design of the engine, as the framework of the engine, the vibration of the casing directly reflects the level of the whole aero engine vibration. In this paper, an analysis was made on the research of the problems and fault classification of aero-engine casing dynamics, and an overview was made on the research of present situation, development trend, problems and solutions of the domestic and foreign of casing dynamics, which expanded the present situation of the Inclusiveness problems of aero-engine casing dynamics. Finally, some proposals were put forward for the development of the casing dynamics suitable for our country aero-engine technology level.
    2012,10(1):21-26, DOI:
    [Abstract] (857) [HTML] (0) [PDF 567.09 K] (16717)
    Abstract:
    A discrete finite dimensional dynamical model was built to describe the space large overall motion of tethered satellite system with an infinite dimensional viscoelastic tether in a long time. The tethered satellite system is a complex nolinear dynamic system. Considering the tether’s viscoelasticity, distributed mass and space form, the established improved bead model can meticulously describe the tether’s vertical and horizontal vibration. According to tether’s characteristic of tensile and not compressive, the slack tether unit model was set up to accurately reflect real stress of tether. The determination of the number of degrees of freedom of the system was studied. Based on numerical integral calculation, the dynamic response was obtained via numerical simulation of the deployment, retrievement and retainment process of tethered satellite system in a long time. The result is convergent. The simulation proves the important role of the stable equilibrium position in the dynamics of tethered space system.
    2008,6(4):301-306, DOI:
    [Abstract] (1247) [HTML] (0) [PDF 0.00 Byte] (16630)
    Abstract:
    The problem of P and PI feedback control to a time delay system was investigated,with the emphasis on the determination of the feedback gains that ensured the asymptotical stability of the delayed system. By means of Lambert W function,the feedback gain of P control can be expressed explicitly,so that the optimal feedback gain can be easily obtained. For the system under a PI control,the stable region of the feedback gains was determined on the basis of stability switches and D subdivision,and the optimal feedback gains that enabled the system to admit maximal stable margin were figured out numerically by using Lambert W function. From the viewpoint of computation,the present method is much simpler than the available methods.
    2014,12(2):183-187, DOI: 10.6052/1672-6553-2014-025
    [Abstract] (1382) [HTML] (0) [PDF 811.52 K] (16430)
    Abstract:
    PMSM due to little harmonic, high precision torque, commonly is used in the servo system and the high performance speed control system. In this paper,the physical model of PMSM is simplified and the mathematical model of the motor is established in order to facilitate research.Thispaper uses id=0 control manner which is the simplest manner is vector control methods,motor electromagnetic torque equation is established based on rotor field oriented vector control.The system model, speed and current control block are build and simulated with MATLAB/Simulink.Simulation results shows that the waveform is consistent with thoretical analysis,the model has fast response and small overshoot.The system runs stably with good dynamic and static characteristics. The simulation makes full use of modularization design. All the parameters and their influence on the system can be changed and observed.It also can easily validate the control strategies and select the most suitable one. So this kind of simulation is good for system design and adjusting and validating.
    2014,12(3):205-209, DOI: 10.6052/1672-6553-2014-059
    [Abstract] (2064) [HTML] (0) [PDF 467.15 K] (13900)
    Abstract:
    This paper investigated the passive nonlinear vibration control method used for energy absorbing in structures of spacecrafts. The structure and the dynamic model of the nonlinear energy sink which could adapt to the space environment were proposed. As nonlinear spring could not be acquired easily in reality, we proposed a new design for the NES based on employing an asymmetric NES force which was generated by two pairs of aligned permanent magnets. Then, the dynamic model for a cantilever beam structure coupled with nonlinear energy sink had been built theoretically. In addition, the passive vibration suppression effect of the nonlinear energy sink on the cantilever beam structure under transient excitation had been analyzed through Galerkin method and numerical analysis method. The results showed that the NES acquired up to 92% dissipation of the system energy imposed by shock excitation, hence the NES could adapt to the space environment and improve the reliability of space system.
    2014,12(3):283-288, DOI: 10.6052/1672-6553-2014-061
    [Abstract] (3014) [HTML] (0) [PDF 479.50 K] (13108)
    Abstract:
    A method was presented to analyze the nonlinear flutter. Based on this method, the flutter characteristics of the high aspect wing were illustrated. The numerical results show that the flutter speed is decreased when the first horizontal bending mode involved. Secondly, this study discussed how the main direction of the composite influenced the character of the nonlinear vibration and flutter, and established the method of the flutter clipping to the high aspect wing. And the result shows that the stiffness of structure can be changed by changing the main direction of the composite. It mainly changes the horizontal bending mode, makes the main direction tend to the trailing edge, and then makes the section line move to the leading edge. Further analyzing the nonlinear flutter reveals that it is the changing of the horizontal bending mode that causes the flutter speed change obviously. And by the section line of this mode moves ahead, the flutter speed will become larger. In the study, two examples were illustrated to validate its truthiness.
    2013,11(4):357-362, DOI: 10.6052/1672-6553-2013-041
    [Abstract] (1434) [HTML] (0) [PDF 350.50 K] (11349)
    Abstract:
    At present, the main task of designing a mounting system of automotive engine powertrain is to select appropriate stiffness, position and angle of mounting components so that free-vibration modal frequency of the mounting system can avert from the exciting-force frequency at the idle speed of the engine and the natural frequency of vibration of the vehicle body and that the decoupling degree of each mode shape is increased as far as possible, so as to improve the vibration-isolation effect of the mounting system. The design of a mounting system based on strict decoupling at predetermined frequencies is to make the modal frequencies of the designed mounting system completely equal to the frequencies predetermined in accordance with the frequency planning of automotive design, and to enable strict decoupling of each mode shape of each mode, i.e., the decoupling degree of vibration energy in every direction equals to 1. Based on a free-vibration equation for a mounting system, this paper presents an equation system for designing a mounting system with strict decoupling at predetermined frequencies, provides a solving method for this equation system by using the theory of generalized inverse matrix or method of constructing function, so as to provide an optimal design method more efficient and simpler than the current modal optimization method of mounting system. Relevant example has validated the correctness of equations and solving method of the strict-decoupling design at predetermined frequencies.
    2016,14(3):247-252, DOI: 10.6052/1672-6553-2015-052
    [Abstract] (1827) [HTML] (0) [PDF 2.18 M] (8503)
    Abstract:
    Tires are the only carrier of the contact between the vehicle and road surface. Their mechanical property is important for analysis and control on the vehicle dynamic response. At present, the tire simulation mostly focuses on the steady state model. But it can not describe the dynamic characteristic of the tire accurately. Therefore, it plays a significant role to add the dynamic tire model in the vehicle dynamics simulation. The tire friction model in the multi body dynamical software ADAMS is static, where the friction is regarded as a static value. However, in actual, the friction between the tire and road surface is dynamic, and it should be a dynamic function of the relative velocity and displacement. To this end, in this paper, the dynamic tire LuGre model using the Matlab/Simulink software is constructed. Through connecting the interface with Adams/Car, co simulation between the vehicle model and the simulink tire model is carried out in order to achieve the dynamic contact between tire and road and improve the accuracy of vehicle system analysis.
    2014,12(1):36-43, DOI: 10.6052/1672-6553-2013-110
    [Abstract] (2158) [HTML] (0) [PDF 2.22 M] (7024)
    Abstract:
    The coupling nonlinear dynamic model of dual rotor system was established by using finite element method, and then the critical speed of revolution and mode shape were calculated by using the software MATLAB. In addition, the unbalance responses of dual rotor system were studied, and the vibration performances in different speeds of dual rotor casing systems were obtained. The research provides a theoretical basis for the design of the dual rotors system in engineering.
    2014,12(3):253-258, DOI: 10.6052/1672-6553-2014-056
    [Abstract] (2056) [HTML] (0) [PDF 1.00 M] (5436)
    Abstract:
    Taking account of the structural stiffness and the low order vibration frequencies, two schemes of multi-objective topology optimization were proposed to obtain the best aircraft lifting-surface structural design. Based on penalized density theory, the scheme one (named as constrain method) is to convert the multi-objective optimization to single-objective optimization by considering the minimum structural mass as the objective with constraints of reference points displacements and the low order vibration frequencies. The scheme two (named as the combination of constrain method and criterion function method) settles the multi-objective optimization by defining combined compliance index (CCI) as the objective, with the constraints of volume fraction and the low order vibration frequencies. The CCI is the function of structural compliance and low order vibration frequencies. Numerical results demonstrate the proposed schemes not only realize reducing the structural mass but also raise the first and second order frequencies.
    2014,12(3):201-204, DOI: 10.6052/1672-6553-2014-048
    [Abstract] (2131) [HTML] (0) [PDF 296.79 K] (4978)
    Abstract:
    Non-linear factors cannot be avoided in the design of aircraft structures. In this paper, a two-degree-of-freedom airfoil and cubic stiffness nonlinearities in pitching degree-of-freedom operating in supersonic flight speed regimes has been analyzed. The averaging method and the theory of flutter were used to analyze the nonlinear dynamic system of the dualistic airfoil in the supersonic flow. Then the correctness of the theoretical calculation was verified by numerical calculation, and the analysis result was given.
    2014,12(1):62-66, DOI: 10.6052/1672-6553-2013-097
    [Abstract] (1544) [HTML] (0) [PDF 832.87 K] (4674)
    Abstract:
    A spline finite point method was presented to study the natural frequency of arch. The displacement mode shape function of the arch free vibration was simulated with a linear combination of cubic B spline. The free vibration frequency equation of arch structures was derived according to Hamilton principle, in which the effect of the dead load was considered. Meanwhile, the effect of the dead load on the natural frequency of arch structures was analyzed. The results show that the natural frequency of arch is reduced. The effect of influence depends on the stiffness of the arch itself. When the arch stiffness is certain, the bigger the rise span ration and the radius to thickness ration, the higher the effect of the dead load on the natural frequency of arch structures.

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