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APPROXIMATE SOLUTIONS FOR TRANSIENT RESPONSE OF CONSTRAINED DAMPING LAMINATED cantilever plate

Acta Mechanica Solida Sinica 2010年第4期23卷 312-323页

作者： Liuwei Mao Anwen Wang Mingyong Hu (College of Science, Naval University of Engineering, Wuhan 430033, China) College of Science Naval University of Engineering Wuhan China

The series composed by beam mode function is used to approximate the displacement function of constrained damping of laminated cantilever plates, and the transverse deformation of the plate on which a concentrated force is acted is calculated using the principle of virtual *** solving Lagrange＇s equation, the frequencies and model loss factors of free vibration of the plate are obtained, then the transient response of constrained damping of laminated cantilever plate is obtained, when the concentrated force is withdrawn *** theoretical calculations are compared with the experimental data, the results show：both the frequencies and the response time of theoretical calculation and its variational law with the parameters of the damping layer are identical with experimental ***, the response time of steel cantilever plate, unconstrained damping cantilever plate and constrained damping cantilever plate are brought into comparison, which shows that the constrained damping structure can effectively suppress the vibration.

关键词： constrained damping cantilever plate damping laminated plate transient response beam mode function combination

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Dynamics of cantilever plates and its hybrid vibration control

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Acta Mechanica Sinica 2013年第5期29卷 738-748页

作者： Bo Ni Chao Hu School of Aerospace Engineering and Applied Mechanics Tongji University Shanghai Institute of Spaceflight Fundamental Technology College of Civil Science and Engineering Yangzhou University

Applying Lagrange-Germain＇s theory of elas- tic thin plates and Hamiltonian formulation, the dynamics of cantilever plates and the problem of its vibration control are studied, and a general solution is finally given. Based on Hamiltonian and Lagrangian density function, we can obtain the flexural wave equation of the plate and the relationship between the transverse and the longitudinal eigenvalues. Based on eigenfunction expansion, dispersion equations of propagation mode of cantilever plates are deduced. By satisfying the boundary conditions of cantilever plates, the natural frequencies of the cantilever plate structure can be given. Then, analytic solution of the problem in plate structure is obtained. An hybrid wave/mode control approach, which is based on both independent modal space control and wave control methods, is described and adopted to analyze the active vibration control of cantilever plates. The low-order （controlled by modal control） and the high-order （controlled by wave control） frequency response of plates are both improved. The control spillover is avoided and the robustness of the system is also improved. Finally, simulation results are analyzed and discussed.

关键词： cantilever plate Hamiltonian formulism - Dis- persion equations Modal control Elastic wave control - Hybrid control

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Research on Dynamic and Static Test Methods for Evaluating the Poisson's Ratio of Orien ted Strand Board

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Journal of Renewable Materials 2022年第12期10卷 3459-3476页

作者： Yuhao Zhou Yuhang He Zhaoyu Shen Zheng Wang College of Materals Science and Engineering Nanjing Forestry University Nanjing 210037China

In this article,dynamic method and static method of testing Poisson's ratio of OSB(Oriented Strand Board)were *** modal and static numerical analyses,the position where the transverse stress is equal to zero was *** binary linear regression method was applied to express the gluing position of the strain gauge as a relational express ion that depended on the length-width ratio and width-thickness ratio of the canti-lever *** the longitudinal and transverse Poisson's ratios of OSB were mea sured by the given dynamic and static *** addition,the test results of OSB Poisson's ratio were analyzed with the probability distribution of random *** results showed that using the proposed dynamic method and static method,the test results for longitudinal and transverse Poisson's ratios of OSB were quite consistent,despite the gluing position of the strain gauges being *** these OSB Poisson's ratios were accorded with that obtained by the axial tensile method and the four-point bending *** longitudinal and transverse Poisson's ratios followed Weibull distribution.

关键词： OSB Poisson's ratio cantilever plate dynamic test static test

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Modal Vibration Control of cantilever plates

Modal Vibration Control of Cantilever Plates

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第二十九届中国控制会议

作者： HU Chao,NI Bo,GUO Wang School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,P.R.China

Applying theory of thin plates and Hamilton formulism,the mode vibration control of cantilever plates was investigated.a solution of cantilever plate vibration was *** equations of propagation mode of plates were deduced from eigenfunction expansion *** mode control was applied to study the active vibration control of the strip plates,and the control effect was compared to the Euler-Bernoulli *** last,the results were analyzed and discussed.

关键词： cantilever plate Hamilton formulism Dispersion equations Vibration control Elastic wave

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