用调和函数表示弹性理论方程组的一般解
Representing General Solution of Equations in Theory of Elasticity by Harmonic Functions
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摘要: 本文用七个调和函数表示弹性理论方程组的一般解,但七个调和函数中只有三个是彼此独立的,并且每个调和函数具有一定的力学意义.文中提供了应用一般解求解弹性静力学中若干简单逆问题的例子.Abstract: The general solution of the equations in the theory of elasticity is represented by seven harmonic functions, where there are only three harmonic functions independent of each other and every one of them has certain mechanics meaning. The examples applying the general solution to solve several simple inverse problems in elastostatics are presented.
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[1] Timoshenko,S.and I .N .Coodier,Theory of Elasticity(sec,ed,),chapters I and McGraw-Hill Book Company,Inc.,New York(1951). -
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