Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (4): 343-352.

• 论文 • 上一篇    下一篇

NONSTATIONARY RANDOM VIBRATION OF ONE-DEGREE AND MULTIDEGREE OF FREEDOM SYSTEMS

孟庆生   

  1. Nankai University, Tianjin
  • 收稿日期:1981-04-15 出版日期:1985-04-18 发布日期:1985-04-18

NONSTATIONARY RANDOM VIBRATION OF ONE-DEGREE AND MULTIDEGREE OF FREEDOM SYSTEMS

Meng Qing-sheng   

  1. Nankai University, Tianjin
  • Received:1981-04-15 Online:1985-04-18 Published:1985-04-18

摘要: In ref.[1] for nonstationary random processes such as we defined the spectral densi Sξ(t, ω)=|t,ω|2S(ω) tywhere Z(A) is an orthogonal random measure, S(ω) is the spectral density of the stationary random processf(t,ω) is a complex function with two real variables, it is called modulation function and it is satisfied byIn ref.[1] we obtained the main results: for the linear dynamic systems which is described by such equationswe obtained under certain conditions thatwherehere W(t,τ) ir the response function of the systems to the unit pulse.This paper is continued on ref.[1].We obtain some results for the one-degree and multidegree of freedom systems.

关键词: uniform channel, permeable wall, magnetic field, slip velocity, shear stress

Abstract: In ref.[1] for nonstationary random processes such as we defined the spectral densi Sξ(t, ω)=|t,ω|2S(ω) tywhere Z(A) is an orthogonal random measure, S(ω) is the spectral density of the stationary random processf(t,ω) is a complex function with two real variables, it is called modulation function and it is satisfied byIn ref.[1] we obtained the main results: for the linear dynamic systems which is described by such equationswe obtained under certain conditions thatwherehere W(t, τ) ir the response function of the systems to the unit pulse.This paper is continued on ref.[1].We obtain some results for the one-degree and multidegree of freedom systems.

Key words: uniform channel, permeable wall, magnetic field, slip velocity, shear stress

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