The solution is complete , including both the homogeneous ( transient ) and particular ( steady - state ) solution , and initial conditions are automatically included 其解是一个完整的解,包括齐次解(动态解)和特解(稳态解) ,且初始条件已经自动地包括了。
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。