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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (1): 31-35.

• 论文 • 上一篇    下一篇

DISCONTINUOUS AND IMPULSIVE EXCITATION

刘曾荣   

  1. Anhui University, Hefei
  • 收稿日期:1985-09-20 出版日期:1987-01-18 发布日期:1987-01-18

DISCONTINUOUS AND IMPULSIVE EXCITATION

Liu Zheng-rong   

  1. Anhui University, Hefei
  • Received:1985-09-20 Online:1987-01-18 Published:1987-01-18

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摘要： In this paper,we study the solution of differential equation with Dirac function and Heaviside function, arising from discontinuous and impulsive excitation. Firstly, according to the theory of differential equation, we suggest x(t)=x1(t) + x2(t)H(t-a); then we derive the equation of x1(t) and x2 (t) by terms of property of distribution, and by solving x1 (t) and x2 (t) we obtain x(t); finally, we make a thorough investigation about periodic impulsive parametric excitation.

关键词: hybrid perturbation-Galerkin technique, circular cross-section tube with constriction, blood flow

Abstract: In this paper,we study the solution of differential equation with Dirac function and Heaviside function, arising from discontinuous and impulsive excitation. Firstly, according to the theory of differential equation, we suggest x(t)=x1(t) + x2(t)H(t-a); then we derive the equation of x1(t) and x2 (t) by terms of property of distribution, and by solving x1 (t) and x2 (t) we obtain x(t); finally, we make a thorough investigation about periodic impulsive parametric excitation.

Key words: hybrid perturbation-Galerkin technique, circular cross-section tube with constriction, blood flow

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