摘要
实际工程中比较常见的变截面梁,其抗弯刚度是一个变量,在进行其刚度计算时,用各种方法求出其挠曲线方程,然后根据方程再求出梁的最大位移,从而对该变截面梁进行刚度校核并使其安全可靠。本文针对变截面梁,提出了求位移的单位力法、积分法、最小势能原理法,通过实例验证了所提方法的正确性,这无论对于实际工程应用还是理论研究都具有重要的参考价值。
In solving displacement of non-uniform beams,all of the textbooks and documents about mechanics of materials expatiate upon uniform beams,whose flexural rigidity EI is constants,while seldom about non-uniform beams.But non-uniform beams whose flexural rigidity EI is variable quantity,are very popular in the practical engineering.When we calculate for rigidity of the non-uniform beams,we achieve firstly equations of deflection curve by making use of various methods.Then obtain the maximum displacement through solving equations.Finally we check the rigidity of non-uniform beams and make it to be safety and reliability.Methods of unit force,integration and the least potential principle is put forward for solving displacement of non-uniform beams.These methods are proved to be correct by instances and be valuable for the engineering practice and theoretical research.
出处
《河北工程大学学报（自然科学版）》
CAS
2011年第1期19-21,29,共4页
Journal of Hebei University of Engineering:Natural Science Edition
关键词
变截面梁
抗弯刚度
最小势能原理
挠曲线方程
non-uniform beam
flexural rigidity
principle of minimum potential energy
equation of deflection curve
