Transient analysis of plates by a combined finite element-transfer matrix method

Ohga, Mitao; Shigematsu, Tsunemi

doi:10.1016/0045-7949(87)90002-2

Cited by 26 publications

(15 citation statements)

References 7 publications

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“…The finite element-transfer matrix method [6,7] for the dynamic response analysis has the same drawback occurring in the step-by-step transfer matrix method, too.…”

Section: Introductionmentioning

confidence: 96%

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Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

et al. 2009

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The authors developed the transfer mass coefficient method (TMCM) in order to compute effectively the dynamic response of a beam structure. In this paper, the algorithm for the dynamic response analysis of a three-dimensional beam structure is formulated. Through the computation results of numerical models, which are plane and space beam structures, obtained by the transfer mass coefficient method and the direct integration method, we verify that the transfer mass coefficient method can remarkably decrease the computation time of the direct integration method without the loss of accuracy in spite of using small computer storage.

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“…The finite element-transfer matrix method [6,7] for the dynamic response analysis has the same drawback occurring in the step-by-step transfer matrix method, too.…”

Section: Introductionmentioning

confidence: 96%

“…Therefore, it is difficult to obtain the accurate dynamic response of large and complex structures by both methods on a personal computer. To overcome above-mentioned disadvantages, a variety of methods for the efficient dynamic response analysis are proposed by many researchers [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

et al. 2009

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“…Dokanish 4 developed finite element TMM to solve the problems of plate structure vibration analysis, by combining finite element method and TMM. Many researchers, such as Ohga and Shigematus, 38 Xue, 39 and Loewy and colleagues, 40,41 studied and improved the finite element transfer matrix for structure dynamics. Horner and Pilkey 5 proposed Riccati TMM in order to circumvent the numerical stability of the boundary value problem.…”

Section: Theorems Of Mstmmmentioning

confidence: 99%

“…To linear system, Myklestad 21 applied TMM to determine the bending-torsion modes of beams, Thomson 22 applied TMM to more general vibration problems, Pestel and Leckie 23 listed transfer matrices for elasto-mechanical elements up to 12th order, and Rubin 24,25 provided a general treatment for transfer matrices and their relation to other forms of frequency response matrices. Transfer matrices have been applied to a wide variety of engineering programs by a number of researchers, including Targoff, 26 Lin, 27 Lin and McDaniel, 28 Mercer and Seavey, 29 Mead and Gupta, 30 Mead, 31 Henderson and McDaniel, 32 McDaniel, 33 McDaniel and Logan, 34 Murthy and colleagues, [35][36][37] and Ohga and Shigematus 38 dealing with beams, beam-type periodic structures, skin-stringer panels, rib-skin structures, curved mutispan structures, cylindrical shells, stiffened rings, and so on. Dokanish 4 developed finite element TMM to solve the problems of plate structure vibration analysis, by combining finite element method and TMM.…”

Section: Theorems Of Mstmmmentioning

confidence: 99%

Virtual design software for mechanical system dynamics using transfer matrix method of multibody system and its application

Yang

Rui

Zhihuan³

et al. 2015

Advances in Mechanical Engineering

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The complex mechanical systems such as high-speed trains, multiple launch rocket system, self-propelled artillery, and industrial robots are becoming increasingly larger in scale and more complicated in structure. Designing these products often requires complex model design, multibody system dynamics calculation, and analysis of large amounts of data repeatedly. In recent 20 years, the transfer matrix method of multibody system has been widely applied in engineering fields and welcomed at home and in abroad for the following features: without global dynamic equations of the system, low orders of involved system matrices, high computational efficiency, and high programming. In order to realize the rapid and visual simulation for complex mechanical system virtual design using transfer matrix method of multibody system, a virtual design software named MSTMMSim is designed and implemented. In the MSTMMSim, the transfer matrix method of multibody system is used as the solver for dynamic modeling and calculation; the Open CASCADE is used for solid geometry modeling. Various auxiliary analytical tools such as curve plot and animation display are provided in the post-processor to analyze and process the simulation results. Two numerical examples are given to verify the validity and accuracy of the software, and a multiple launch rocket system engineering example is given at the end of this article to show that the software provides a powerful platform for complex mechanical systems simulation and virtual design.

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“…Other researchers, such as, Ohga, Xue and Loewy, studied and improved the FE-TMM in different aspects [13][14][15][16]. Rong et al used the modified FE-TMM to study the linear eigenvalue problems of ordinary flexible structures [17].…”

mentioning

confidence: 99%

Dynamic modeling and H ∞ independent modal space vibration control of laminate plates

Bao

Rui

Wang

et al. 2011

Sci. China Phys. Mech. Astron.

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In this paper, combining the transfer matrix method and the finite element method, the modified finite element transfer matrix method is presented for high efficient dynamic modeling of laminated plates. Then, by constructing the modal filter and the disturbance force observer, and using the feedback and feedforward approaches, the H ∞ independent modal space control strategy is designed for active vibration control of laminate plates subjected to arbitrary, immeasurable disturbance forces. Compared with ordinary dynamic modeling and control methods of laminated plate structures, the proposed method has the low memory requirement, high computational efficiency and robust control performance. Formulations as well as some numerical examples are given to validate the method and the control performance. transfer matrix method, finite element, laminated plate, active vibration control, H ∞ control PACS: 46.70.De, 43.40.Dx, 43.40.VnIn recent years, the laminated plates have been widely used in various engineering applications, such as precision machinery, aircrafts, and vehicles and have attracted many researchers in fields of structural vibration analysis, damage detection, vibration control and noise control [1][2][3]. In terms of the dynamic performance and vibration control of laminated plates, the high-efficient dynamic modeling and appropriate control law design are the two key points. At present, the finite element method (FEM) has become the most powerful and most widely used tool for dynamic modeling of the laminated plate structures. Based on such a FEM model, many researchers studied many such vibration control design methods as the passive vibration control [4], velocity feedback control [5], linear quadratic regulator (LQR) approach [6], H 2 control [7], neural network control [8], fuzzy control [9], and intelligent algorithms [10].Generally speaking, when using the FEM model to study the dynamics and vibration control of the laminate plate structure, we often have to face the following problems.First of all, the FEM must use a large number of nodes, which results in the huge degrees of freedom (DOF) and the high orders of matrices in the global dynamic equations. Most modern control design methods, such as LQR, H 2 and H ∞ , tend to generate a controller of the order comparable to that of the global dynamic equations of controlled object. For a FEM model of the laminate plate, the large number of DOFs poses great difficulty for control system design. Even if one can get a controller from the full model, a very high order of the controller makes it infeasible for real-time implementation [1]. Secondly, the high matrix orders and large stiffness gradients of laminate plate would result in some numerical difficulties when the vibration characteristics are computed. The precise computation of vibration characteristics is the precondition for optimal design of a close-loop controlled system. Moreover, the robustness problem, which is caused by the discrepancy of modeling from the system identification error, d...

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Transient analysis of plates by a combined finite element-transfer matrix method

Cited by 26 publications

References 7 publications

Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

Virtual design software for mechanical system dynamics using transfer matrix method of multibody system and its application

Dynamic modeling and H ∞ independent modal space vibration control of laminate plates

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