典型文献
Dynamic symmetry breaking and structure-preserving analysis on the longitudinal wave in an elastic rod with a variable cross-section
文献摘要：
The longitudinal wave propagating in an elastic rod with a variable cross-section owns wide engineering background,in which the longitudinal wave dissipation determines some important performances of the slender structure.To reproduce the longitudinal wave dissipation effects on an elastic rod with a variable cross-section,a structure-preserving approach is developed based on the dynamic symmetry breaking theory.For the dynamic model controlling the longitudinal wave propagating in the elas-tic rod with the variable cross-section,the approximate multi-symplectic form is deduced based on the multi-symplectic method,and the expression of the local energy dissipation for the longitudinal wave propagating in the rod is presented,referring to the dynamic symmetry breaking theory.A structure-preserving method focusing on the residual of the multi-symplectic structure and the local energy dissipation of the dynamic model is constructed by using the midpoint difference discrete method.The longitudinal wave propagating in an elastic rod fixed at one end is simulated,and the local/total energy dis-sipations of the longitudinal wave are investigated by the constructed structure-preserving scheme in two typical cases in detail.
文献关键词：
中图分类号：
作者姓名：
Jingjing HU;Mengbo XU;Weipeng HU;Ruisong JIANG;Zichen DENG
作者机构：
School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,China;School of Civil Engineering and Architecture,Xi'an University of Technology,Xi'an 710048,China;State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China,Xi'an University of Technology,Xi'an 710048,China;School of Aeronautics and Astronautics,Sichuan University,Chengdu 610065,China
文献出处：
引用格式：
[1]Jingjing HU;Mengbo XU;Weipeng HU;Ruisong JIANG;Zichen DENG-.Dynamic symmetry breaking and structure-preserving analysis on the longitudinal wave in an elastic rod with a variable cross-section)[J].应用数学和力学（英文版）,2022(01):81-92
A类：
midpoint,sipations
B类：
Dynamic,symmetry,breaking,structure,preserving,analysis,longitudinal,wave,elastic,variable,cross,section,propagating,owns,wide,engineering,background,which,dissipation,determines,some,important,performances,slender,To,reproduce,effects,approach,developed,dynamic,theory,For,model,controlling,approximate,multi,symplectic,deduced,method,expression,local,energy,presented,referring,focusing,residual,constructed,by,difference,discrete,fixed,one,simulated,total,are,investigated,scheme,two,typical,cases,detail
AB值：
0.345242
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