The Experts below are selected from a list of 9318 Experts worldwide ranked by ideXlab platform
Duan Zhuping - One of the best experts on this subject based on the ideXlab platform.
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iterative method using consistent Mass matrix in axisymmetrical finite element analysis of hypervelocity impact
International Journal of Impact Engineering, 1998Co-Authors: Song Shuncheng, Duan ZhupingAbstract:We present in this paper an iterative method using consistent Mass matrix in axisymmetrical finite element analysis of hypervelocity impact. To retain the advantage of integration on an element-by-element basis which is at the heart of modern hydrocodes, we suggest that the first step should be to solve for accelerations at an advanced time step by using the Lumped Mass approach, then iterate using a consistent Mass matrix to improve the estimate. Examples are given to show the improved resolution with the new method.
Shen R Wu - One of the best experts on this subject based on the ideXlab platform.
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Lumped Mass matrix in explicit finite element method for transient dynamics of elasticity
Computer Methods in Applied Mechanics and Engineering, 2006Co-Authors: Shen R WuAbstract:Abstract The Mass matrix of structural dynamics is discussed for the approximations by linear elements with constant Jacobians. The a-priori error estimate is derived for the explicit finite element method using diagonal Mass matrix. With smooth solutions, it is shown that by using diagonal Mass matrix or consistent Mass matrix, the displacement, velocity, and the energies have the same convergence rates. In fact, the difference in numerical errors by these two methods is of order h2. The same conclusion is valid for a certain type of Reissner–Mindlin plate element for transient dynamics.
W U Shenrong - One of the best experts on this subject based on the ideXlab platform.
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application of Lumped Mass spring model in vehicle passive safety pre research stage
Computer-Aided Engineering, 2013Co-Authors: W U ShenrongAbstract:To determine the safety target acceleration waveforms of vehicle frontal impact in the conceptual design phase of vehicle body development,a method that defines the whole vehicle frontal impact waveforms by occupant injury value is proposed,and then the vehicle Lumped Mass-Spring(LMS) model including occupants is built.To ensure the effectiveness of LMS model,the simulation results based on whole vehicle finite element model are compared with the kinematic characteristics calculation results.Through the comparison of acceleration waveforms,force on rigid wall and general crushing distance of front cabin,the effectiveness of the LMS model is verified.Taking the ride down efficiency of occupant's chest as optimization target,based on the confirmed LMS model,the test design analysis of key parameters are done,that can provide design reference for the impact safety performance of vehicle frontal structure.
Song Shuncheng - One of the best experts on this subject based on the ideXlab platform.
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iterative method using consistent Mass matrix in axisymmetrical finite element analysis of hypervelocity impact
International Journal of Impact Engineering, 1998Co-Authors: Song Shuncheng, Duan ZhupingAbstract:We present in this paper an iterative method using consistent Mass matrix in axisymmetrical finite element analysis of hypervelocity impact. To retain the advantage of integration on an element-by-element basis which is at the heart of modern hydrocodes, we suggest that the first step should be to solve for accelerations at an advanced time step by using the Lumped Mass approach, then iterate using a consistent Mass matrix to improve the estimate. Examples are given to show the improved resolution with the new method.
Yongtao Yang - One of the best experts on this subject based on the ideXlab platform.
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on generation of Lumped Mass matrices in partition of unity based methods
International Journal for Numerical Methods in Engineering, 2017Co-Authors: Hong Zheng, Yongtao YangAbstract:Summary The partition of unity based methods, such as the extended finite element method and the numerical manifold method, are able to construct global functions that accurately reflect local behaviors through introducing locally defined basis functions beyond polynomials. In the dynamic analysis of cracked bodies using an explicit time integration algorithm, as a result, huge difficulties arise in deriving Lumped Mass matrices because of the presence of those physically meaningless degrees of freedom associated with those locally defined functions. Observing no spatial derivatives of trial or test functions exist in the virtual work of inertia force, we approximate the virtual work of inertia force in a coarser manner than the virtual work of stresses, where we inversely utilize the ‘from local to global’ skill. The proposed Lumped Mass matrix is strictly diagonal and can yield the results in agreement with the consistent Mass matrix, but has more excellent dynamic property than the latter. Meanwhile, the critical time step of the numerical manifold method equipped with an explicit time integration scheme and the proposed Mass lumping scheme does not decrease even if the crack in study approaches the mesh nodes — a very excellent dynamic property. Copyright © 2017 John Wiley & Sons, Ltd.
