一般积分 meaning in English
general integral
Examples
- A solution of linear nonhomogenous differential equations has been found out on the basis of using the idea of parametric variation and an integral of the linear homogenous differential equation ' s parameter solutions
摘要利用参数变动法的思想,通过已知满足初始条件的齐线性方程(组)含参量特解,给出了非齐线性方程(组)特解的一般积分表示。 - The main work includes : based on biot ' s dynamic consolidation equations , by the method of integral transform and matrix transfer , two - dimensional consolidation of layered saturated soils is studied . then , the general integral solutions of stress ( including pore pressure ) and displacement ( including fluid flow ) of any point were obtained under harmonic vibration loads according to staunch boundary condition . second , a program to verify the correctness of this dissertation is developed
主要工作有:本文根据biot平面动力固结方程,运用积分变换和矩阵传递的方法,研究了成层饱和地基的二维biot固结问题,根据下边界为不透水基岩的边界条件,获得了地基表面作用简谐振动荷载时,任意点应力(包括孔压) 、位移(包括流体流量)的一般积分形式解。 - A new step - by - step integral procedure of dynamics equations is presented . the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration . the explicit analytical integration algorithm , which is characterized by fourth - order accuracy , self - starting and self - correcting , is employed to discretize the equivalent load terms
另外提出了求解动力学方程的一个新型的逐步积分法,基于线性动力学方程的解析齐次解及duhamel积分,构造出适用于非线性动力学方程解的一般积分表达式,对包含非线性项的非齐次项采用插值近似的方法,得到一个单步显式、自起步、预测校正具有四阶精度的解析逐步积分算法。