The Experts below are selected from a list of 343725 Experts worldwide ranked by ideXlab platform
Shuenn-yih Chang - One of the best experts on this subject based on the ideXlab platform.
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A Loading Correction Scheme for a Structure-Dependent Integration Method
Journal of Computational and Nonlinear Dynamics, 2016Co-Authors: Shuenn-yih ChangAbstract:A structure-dependent Integration Method may experience an unusual overshooting behavior in the steady-state response of a high frequency mode. In order to explore this unusual overshooting behavior, a local truncation error is established from a forced vibration response rather than a free vibration response. As a result, this local truncation error can reveal the root cause of the inaccurate Integration of the steady-state response of a high frequency mode. In addition, it generates a loading correction scheme to overcome this unusual overshooting behavior by means of the adjustment the difference equation for displacement. Apparently, these analytical results are applicable to a general structure-dependent Integration Method.
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A general technique to improve stability property for a structure-dependent Integration Method
International Journal for Numerical Methods in Engineering, 2014Co-Authors: Shuenn-yih ChangAbstract:Summary A general technique is proposed to improve the stability property of a structure-dependent Integration Method, which is very computationally efficient in solving inertia-type problems when compared with conventional Integration Methods, by introducing a stability amplification factor into the coefficient matrices of difference equations. As a result, an improved structure-dependent Integration Method with a better stability property can be achieved. The concept, derivation, and validation of this technique are intensively studied and are presented in this work. It is evident that the technique can be applied to any structure-dependent Integration Method to enhance its stability property. Copyright © 2014 John Wiley & Sons, Ltd.
Zhe Ding - One of the best experts on this subject based on the ideXlab platform.
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a modified precise Integration Method for transient dynamic analysis in structural systems with multiple damping models
Mechanical Systems and Signal Processing, 2018Co-Authors: Zhe DingAbstract:Abstract Sophisticated engineering systems are usually assembled by subcomponents with significantly different levels of energy dissipation. Therefore, these damping systems often contain multiple damping models and lead to great difficulties in analyzing. This paper aims at developing a time Integration Method for structural systems with multiple damping models. The dynamical system is first represented by a generally damped model. Based on this, a new extended state-space Method for the damped system is derived. A modified precise Integration Method with Gauss-Legendre quadrature is then proposed. The numerical stability and accuracy of the proposed Integration Method are discussed in detail. It is verified that the Method is conditionally stable and has inherent algorithmic damping, period error and amplitude decay. Numerical examples are provided to assess the performance of the proposed Method compared with other Methods. It is demonstrated that the Method is more accurate than other Methods with rather good efficiency and the stable condition is easy to be satisfied in practice.
Wangqun Deng - One of the best experts on this subject based on the ideXlab platform.
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an interval precise Integration Method for transient unbalance response analysis of rotor system with uncertainty
Mechanical Systems and Signal Processing, 2018Co-Authors: Chao Fu, Yongfeng Yang, Wangqun DengAbstract:Abstract A non-intrusive interval precise Integration Method (IPIM) is proposed in this paper to analyze the transient unbalance response of uncertain rotor systems. The transfer matrix Method (TMM) is used to derive the deterministic equations of motion of a hollow-shaft overhung rotor. The uncertain transient dynamic problem is solved by combing the Chebyshev approximation theory with the modified precise Integration Method (PIM). Transient response bounds are calculated by interval arithmetic of the expansion coefficients. Theoretical error analysis of the proposed Method is provided briefly, and its accuracy is further validated by comparing with the scanning Method in simulations. Numerical results show that the IPIM can keep good accuracy in vibration prediction of the start-up transient process. Furthermore, the proposed Method can also provide theoretical guidance to other transient dynamic mechanical systems with uncertainties.
W. X. Zhong - One of the best experts on this subject based on the ideXlab platform.
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Subdomain Precise Integration Method for Periodic Structures
Shock and Vibration, 2014Co-Authors: Qiang Gao, W. X. ZhongAbstract:A subdomain precise Integration Method is developed for the dynamical responses of periodic structures comprising many identical structural cells. The proposed Method is based on the precise Integration Method, the subdomain scheme, and the repeatability of the periodic structures. In the proposed Method, each structural cell is seen as a super element that is solved using the precise Integration Method, considering the repeatability of the structural cells. The computational efforts and the memory size of the proposed Method are reduced, while high computational accuracy is achieved. Therefore, the proposed Method is particularly suitable to solve the dynamical responses of periodic structures. Two numerical examples are presented to demonstrate the accuracy and efficiency of the proposed Method through comparison with the Newmark and Runge-Kutta Methods.
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A fast precise Integration Method for structural dynamics problems
Structural Engineering and Mechanics, 2012Co-Authors: F W Williams, Qiang Gao, W. X. Zhong, H.w. Zhang, W.p. HowsonAbstract:A fast precise Integration Method (FPIM) is proposed for solving structural dynamics problems. It is based on the original precise Integration Method (PIM) that utilizes the sparse nature of the system matrices and especially the physical features found in structural dynamics problems. A physical interpretation of the matrix exponential is given, which leads to an efficient algorithm for both its evaluation and subsequently the solution of large-scale structural dynamics problems. The proposed algorithm is accurate, efficient and requires less computer storage than previous techniques.
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A Precise Time Step Integration Method
Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 1994Co-Authors: W. X. Zhong, F W WilliamsAbstract:A high-precision numerical time step Integration Method is proposed for a linear time-invariant structural dynamic system. Its numerical results are almost identical to the precise solution and are almost independent of the time step size for a wide range of step sizes. Numerical examples illustrate this high precision.
Makoto Ohsaki - One of the best experts on this subject based on the ideXlab platform.
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Sensitivity Analysis of Elastoplastic Structures by Using Explicit Integration Method
Applied Mechanics Reviews, 1997Co-Authors: Makoto OhsakiAbstract:An algorithm is presented for sensitivity analysis of responses of an elastoplastic distributed parameter structure subjected to cyclic loading conditions. The structure is modeled by the finite element Method, where an isoparametric element is used. The responses are found by using an explicit Integration Method incorporating higher-order differential coefficients with respect to the path parameter. All the governing equations are differentiated with respect to the design variables, and sensitivity coefficients of the responses are updated incrementally at each step. The accurate sensitivity coefficients are calculated for the value of the path parameter at the yield or unloading point. Since the algorithm is totally consistent with that of response analysis, the calculated sensitivity coefficients agree within good accuracy with those by the finite difference Method.
