摘要
采用与Ｎｅｗｍａｒｋ法和Ｗｉｌｓｏｎθ法相同的基本假设，即设在每一时间步长内加速度为线性变化，然后经过等加权处理而得到一种条件稳定的隐式时间积分格式。作为积分法特性的标志，其周期延长率和幅值衰减率均以封闭的解析形式给出。分析表明，此法的周期延长率远小于Ｎｅｗｍａｒｋ法和Ｗｉｌｓｏｎθ法，而幅值衰减也远低于Ｗｉｌｓｏｎθ法。最后以质点－弹性杆碰撞分析为例，比较了上述３种隐式时间积分法所得的结果。
A kind of conditionally stable implicit time integration scheme is obtained based upon the average weighting method and the assumption that the acceleration in each time step is linear, which is the same as employed in the Newmark or Wilson θ method. As the indicators of the characteristics of time integration methods, its period elongation and the amplitude decay are given in the closed form. It is shown that the period elongation of this method is much smaller than that of Newmark or Wilson θ method and the amplitude decay is much smaller than that of Wilson θ method. Comparison of results obtained by the above three methods in the case of mass elastic rod impact analysis is also given.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1998年第4期393-399,共7页
Acta Aeronautica et Astronautica Sinica
基金
国防"九五"预研课题
国家教委博士点基金
