Paper Title:
Symmetry’s Applications to Bihamonic Equation and the Generalized Solution of Elasticity Problem
  Abstract

The generalized elasticity solutions are obtained in this paper by symmetries from Lie transformations. The symmetries of the bihamonic equation are obtained by mathematica package SYM. The several invariant solutions are found by solving the corresponding ordinary differential equations from Lie transformations. The superposition of invariant solutions, corresponding to an eigenfunction expansion, could yield the generalized elasticity solutions in rectangular coordinates and polar coordinates, where the eigenvalues arises from the invariance of bihamonic equation.

  Info
Periodical
Edited by
Zhou Mark
Pages
899-904
DOI
10.4028/www.scientific.net/AMM.52-54.899
Citation
J. Qin, K. F. Huang, "Symmetry’s Applications to Bihamonic Equation and the Generalized Solution of Elasticity Problem", Applied Mechanics and Materials, Vols. 52-54, pp. 899-904, 2011
Online since
March 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Xing Hua Ma, Feng Tong Yue, Shu Juan Yuan, Dong Mei Li
Abstract:This essay starting with the origin of thought about equation, discusses the development course of radical formula for equation from simple...
418
Authors: Rong Jun Cheng, Hong Xia Ge
Chapter 6: Engineering Mechanics and Application
Abstract:The reproducing kernel particle method (RKPM) is used in this paper to find the numerical solution of modified equal width wave (MEW)...
1130
Authors: Chun Hui Liu, Da Li Shi, Yan Yang Wu, Jian Hua Qin
Abstract:This paper analyzed granule of non-plug flow solid conveying section, and found the theoretical basis of the calculation model of granule...
122
Authors: Jin Song Pan
Chapter 3: Material Engineering and Science
Abstract:Through the introduction to the properties of characteristic polynomial, the order reduction theorem of the characteristic polynomial as well...
3516
Authors: Jun Yi Yin
Chapter 7: Computational Mechanics
Abstract:Two kinds of new exact solutions were offered after studying the variable coefficient KP equation, of which, the group invariant solutions of...
3075