一个基于双重基本假定的另类显式积分格式
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摘要
通过结合采用精确法和平均常加速度法的基本假定,推导建立了基于双重基本假定的另类显式积分格式,提出了相关的体系另类振动周期等新概念。基于另类振动周期概念并结合现有相关研究成果,导出了该格式的精度控制准则和形式上的稳定性控制准则,为开展相关的数值模拟研究准备了必要的基础和前提。
By combining the basic assumption of accurate method with that of constant average acceleration method,an other explicit integration method based on double basic assumption is derived,and some new concept of other vibration period of system are put forward.Based on the other vibration period and combined with current associated research results,criteria of accuracy and criteria of stability in form of the method are derived,which provide the necessary precondition and foundation for developing associated numerical simulation research.
By combining the basic assumption of accurate method with that of constant average acceleration method,an other explicit integration method based on double basic assumption is derived,and some new concept of other vibration period of system are put forward.Based on the other vibration period and combined with current associated research results,criteria of accuracy and criteria of stability in form of the method are derived,which provide the necessary precondition and foundation for developing associated numerical simulation research.
引文
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[2]张晓志,张石磊,王伟.计算地震动长周期反应谱的转换模型和方法[J].地震工程与工程振动.2008,28(6):39-43.
[3]李小军,廖振鹏,杜修力.有阻尼体系动力问题的一种显式差分解法[J].地震工程与工程振动.1992,12(4):74-80.
[4]廖振鹏.工程波动理论导论[M].北京:科学出版社.2002:200-203.
[5]钟万勰.子域精细积分及偏微分方程数值解[J].计算结构力学及其应用.1995,12(3):253-260.
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