摘要
给出了复阻尼本构方程在全频域的表达式。完成了向时域表达式的转换。文中指出，基于Ｆｏｕｒｉｅｒ频域的本构不能用于求解由初值确定的自由振动．只有延拓至复频域，才具备概括自由振动与强迫振动两种工况的能力。为了满足热力学定律的约束，对复频域本构必须附加限制条件。离散计算时，由于未实施这一限制条件、一定会导致失稳。文中对解决失稳问题提出了若干建议。
The constitutive equation with complex damping in full frequency domain is given and the equation in time domain is derived. It is indicated that the constitutive equation based on Fourier frequency domain can not be used in situations of free vibrations. It is necessary to extend to complex frequency domain for being applicable to both free and forced vibrations. However, an additional inequality constraint must be included in the constitutive equation for following the laws of thermodynamics. In the case of discrete calculation the instable phenomenon should emerged. because the inequality constraint is not implemented. Some suggestions are presented to solve the problem of instability in the paper.
出处
《地震工程与工程振动》
CSCD
北大核心
2002年第1期1-6,共6页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金资助项目(59878015)
关键词
复阻尼
本构方程
频域
时域
热力学约束
自由振动
强迫振动
complex damping
constitutive equation
frequency and time domain: constraint of thermodynamics: frequency domain extension
instability
