洪宏基2006-07-252018-07-092006-07-252018-07-092005http://ntur.lib.ntu.edu.tw//handle/246246/2896The project was proposed to study the canonical framework of the laws of motion and constitution for a particle moving or trapped in a frictional environment, and its finitely many degree-of-freedom and continuum versions. The main focus is on the challenging extension of the Hamiltonians of the motion laws of Newton and Eienstein to Hamiltonians which account for both (conservative and dissipative) constitutive laws and (Newtonian and Eienstein) motion laws. Under the canonical framework, we take advantage of canonical transformations to find exact and analytical solutions and to devise highly accurate group-preserving aschemes.application/pdf513329 bytesapplication/pdfzh-TW國立臺灣大學土木工程學系暨研究所motion lawconstitutive lawHamiltoniancanonical frameworkgroup-preserving schemesplasticityfrictiondissipationreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/2896/1/932211E002047.pdf