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	1. Characteristics of wave propagation in section-varying bar covered with piezoelectric layer
	Qing-tian Deng,Song-nan Luo
	Mechanics 13 September 2007
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	Abstract:The wave propagation in the section-varying bar with piezoelectric layered is studied in this paper. The study aims at observing the general characteristics of wave in the laminated section-varying bar. The section varying problem is described by the boundary varying function and the co-ordinate functions are utilized to denote the displacements in the laminated bar. The co-ordinate functions which can be used to express an arbitrary unique and continuous displacement field are polynomials in the radial co-ordinate . Based on a matrix formulation of Hamilton’s principle, the dynamical equations associated with wave propagation in the laminated bar are established. The numerical solution of the dispersion curves for different section varying extent and wave propagation distance are obtained by performing the variational operation and solving the eigenvalue problem where the wavenumber is considered to be known and the frequency is determined as an eigenvalue. The eigenvectors are coupled to the co-ordinate functions and determine the distribution of displacements over the cross-section. From the calculated results, the first three mode shapes of displacement fields and the first mode shapes of stress fields distribution along radial direction are shown in the paper.
	TO cite this article:Qing-tian Deng,Song-nan Luo. Characteristics of wave propagation in section-varying bar covered with piezoelectric layer [OL].[13 September 2007] http://en.paper.edu.cn/en_releasepaper/content/15078


	2. An Improved NLMDF Algorithm with Critical Damping
	Wang Teng,Yan Guirong,Han Yuhang
	Mechanics 26 April 2007
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	Abstract:We propose an NLMDF-based adaptive algorithm, improved nonlinear multi-degree-of-freedom with critical damping (INLMDF-CD) algorithm. The underlying idea is to assimilate the adaptive modeling process of iteration for the optimal solution to a particle’s moving under the critical damping condition on the mean-square error (MSE) surface geometry, which is imagined to be located in the gravitational field. The new algorithm is derived by incorporating a damping force matrix in the particle movement differential equation to make all modals working under the critical damping condition. The simulation results show a faster rate of convergence for the new algorithm as compared with NLMDF algorithm with a colored noise input signal.
	TO cite this article:Wang Teng,Yan Guirong,Han Yuhang. An Improved NLMDF Algorithm with Critical Damping[OL].[26 April 2007] http://en.paper.edu.cn/en_releasepaper/content/12503


	3. A Wave-based Identification Approach for Boundary Conditions of Fluid-filled Piping System Using Neural Networks
	Deng Changhua ,Ren Jianting ,Jiang Jiesheng
	Mechanics 26 October 2006
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	Abstract:An identification approach for boundary conditions of fluid-filled piping systems has been developed in the present work. Based on the wave propagation theory, a few lowest natural frequencies corresponding to different boundary conditions of the piping system are obtained. Then these frequencies and boundary conditions are put into a neural network as input and output patterns. Therefore the network is trained with the backpropagation algorithm to form the relationship between the frequencies and boundary parameters. Due to the effective mapping ability of the neural network, unknown boundary conditions can be determined by the trained network. In this paper, the axial, bending and torsional vibrations are taken into account. In addition the effect of fluid-structure interaction is also introduced into the modeling. Numerical examples of a straight and a curved piping system, each filled with fluid are presented to demonstrate the feasibility of the proposed approach.
	TO cite this article:Deng Changhua ,Ren Jianting ,Jiang Jiesheng . A Wave-based Identification Approach for Boundary Conditions of Fluid-filled Piping System Using Neural Networks[OL].[26 October 2006] http://en.paper.edu.cn/en_releasepaper/content/9018


	4. An extended stochastic response surface method for random field problems
	Shuping Huang
	Mechanics 26 April 2006
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	Abstract:An efficient and accurate uncertainty propagation methodology for mechanics problems with random fields is developed in this paper. This methodology is based on the stochastic response surface method (SRSM) which has been previously proposed for problems dealing only with random variables. This paper extends SRSM to problems involving random fields or random processes fields. The favourable property of SRSM lies in that the deterministic computational model can be treated as a black box, as in the case of commercial finite element codes. Numerical examples are used to highlight the features of this technique and to demonstrate the accuracy and efficiency of the proposed method. A comparison with Monte Carlo simulation shows that the proposed method can achieve numerical results close to those from Monte Carlo simulation while dramatically reducing the number of deterministic finite element runs.
	TO cite this article:Shuping Huang. An extended stochastic response surface method for random field problems[OL].[26 April 2006] http://en.paper.edu.cn/en_releasepaper/content/6410

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