空间杆系结构内力与变位的一种新解析法
An Analytical Method for Solving Internal Forces and Deformations of Bar-System Structure in Space
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摘要: 本文以有限元法的思想为基础,引用Diracδ函数和Heaviside step函数,将梁的弯曲问题的初参数法推广应用到杆系结构,并据此改进超静定结构分析中的混合法,提出空间杆系结构内力与变位分析的一种新方法.采用本文提供的新方法分析杆系结构的内力与变位的问题,可使整个推导过程与所得解答更加简洁精确.Abstract: In this paper, based on the idea of finite element method, the initial parametric method in bending, problem of a beam is extended to analyse the bar-system structure by employing Dirac δ function and llcavisidc step function.Then a new method for analysing the internal forces and deformations of bar-system structure in space is suggested by improving the mixed method in statically indeterminate structure.The inferred process and obtained answer will be more succinct and accurate when the problem of internal forces and deformations of bar-system structure is analysed by using the new method provided in this paper.
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[1] 夏道行等,《实变函数与泛函分析》,人民教育出版社(1978). [2] 吴从炘.δ函数对力学应用的几点注记,工程学学报,1 (1984). [3] 袁发荣,空间杆系结构有限元法及其在造型机框架的内力与变位分析中的应用,力学学报,2(1977). [4] 袁发荣,平面刚架内力与变位分析的一种解析法,应用力学学报.3 (1987). -
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