考虑集中力作用的欧拉运动方程  

The Generalized Euler Equations of Motion with the Action of Concentrated Force Taken into Account

作　　者：王保国[2] 王菁[1] 李四平[1] 杨挺青[2] 

机构地区：[1]郑州工业大学 [2]华中理工大学力学系

出　　处：《华中理工大学学报》1997年第9期98-99,103,共3页Journal of Huazhong University of Science and Technology

摘　　要：借助广义函数，从牛顿运动定律出发推导了包括集中力在内的外力系作用下连续体运动的欧拉方程，为集中载荷表达成面力或体力提供了理论依据，并使某些问题的求解得到简化或成为可能．给出了求解弹性力学问题的具体例子．According to Newton's law of motion, the generalized equaions of motion of the continuum under the action of an external system of forces with the concentrated force taken into account are derived with the help of Dirac distribution. A theoretical basis is thus provided for the representation of a concentrated load as a distributed surface or body forcewhile bringing about simplification or possibility to the solution of some problems. Several examples of solving problems in the theory of elasticity are given.

关 键 词：连续介质力学 欧拉运动方程 集中力 弹性力学 

分 类 号：O343.4[理学—固体力学]