Large displacement Lagrangian mechanics .1. Theory

被引：0

作者：

Underhill, WRC ^{[1
]}

Dokainish, MA ^{[1
]}

机构：

[1] MCMASTER UNIV,DEPT CIVIL ENGN & ENGN MECH,HAMILTON,ON L8S 4L7,CANADA

来源：

STRUCTURAL ENGINEERING AND MECHANICS | 1996年 / 4卷 / 01期

关键词：

large displacement; strain Lagrangian; configurational calculus; gradient; equilibrium principle;

D O I：

10.12989/sem.1996.4.1.073

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In Lagrangian mechanics, attention is directed at the body as it moves through space. The region occupied by the body is called a configuration. All body points are labelled by the position they would have if the body were to occupy a chosen reference configuration. The reference configuration can be regarded as an extra fictional copy where notes are kept. As the body moves and deforms, it is important to correctly observe the use of each configuration for computational purposes. The description of strain is particularly important. The present work establishes clearly the role of each configuration in total and in incremental forms. This work also details the differences between gradient and configurational calculus.

引用

页码：73 / 89

页数：17