弹性压杆稳定计算的方块脉冲函数法  

Calculation of stability for elastic compression bar using block-pulse functions

作　　者：王珂晟[1] 李永东[1] 

机构地区：[1]装甲兵工程学院机械工程系,北京100072

出　　处：《机械设计与制造》2004年第3期5-7,共3页Machinery Design & Manufacture

基　　金：教育部高等学校骨干教师资助计划项目(GG130900021017)

摘　　要：弹性压杆特别是变截面压杆,要推导出其稳定方程和计算临界载荷是十分繁琐甚至是不可能的。这里利用方块脉冲函数(BPF)的良好运算性质直接求解弹性压杆稳定的能量泛函极值,将计算临界载荷转化为求矩阵的特征值问题,从而得到了计算弹性压杆失稳临界载荷的一种新的数值方法。该方法对于等截面压杆和变截面压杆均适用,具有计算简洁、便于计算机处理等优点,有很好的工程应用价值。lt is very inconvenient and even impossible for elastic compression bar,especially variable section bar,to derive the stability equation and calculate the critical load.ln this paper,the minimum value of the functional analysis of the energy in elastic compression bar is directly solved by means of the favorable properties of block pulse functions.The calculation of critical load is converted into the problem of solving the eigenvalue of the matrix.Thus,a new numerical method for calculating the critical load of elastic compression bar is obtain ed.The method is applicabile to both constant section bar and variable section bar.lt is characterized by concise calculation and convenience of computer processing Hence,it is of great value in engineering application.

关 键 词：弹性压杆 稳定性 临界载荷 方块脉冲函数 

分 类 号：O34[理学—固体力学] TU311[理学—力学]