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【提要】 链杆法是解弹性地基梁的有效方法,也是工程设计中经常采用的方法。但是链杆法中有两个未知变位及存在于方程组中,如果地基梁有几个未知反力,则需求(n+2)个未知量,这就增加了计算工作量。为了去掉及,本文首先提出应用局部虚功的概念,并证明了局部虚功方程式W=U,然后用梁的(n-2)个虚功方程式和两个力的平衡方程式来求解n个未知反力,因而使计算工作量大为减少。本文的方法对手算或使用TI-59计算器都比较方便。
【Abstract】 The chain link method is an effective method to solve the elastic foundation beam, and it is also a method often used in engineering design. However, there are two unknown displacements in the chain-link method and they exist in the system of equations. If the foundation beam has several unknown reaction forces, then (n+2) unknowns are required, which increases the computational workload. In order to get rid of it, this paper first proposes the concept of applying local virtual work, and proves the local virtual work equation W=U, then solves n unknowns using the (n-2) virtual work equations of the beam and the balance equations of the two forces. Counter force, thus greatly reducing the computational workload. The method of this article is handy for calculating or using the TI-59 calculator.