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• W2364291777 abstract "Cubic nonlinear velocity feedback control law was proposed to suppress the primary parametric resonance of a beam with simple surported ends and subjected to thermal shock load.By considering the effects of geometric nonlinearity and linear damp,nonlinear dynamic governing equation for the beam was derived by using Hamilton law.In the light of Galerkin's variation principle,the nonlinear partial differential equation of the system was reduced into a second-order nonlinear ordinary equation—Duffing-Mathieu's equation.The method of multiple scale is used to derive the amplitude-frequency response equation for its first approximate solution when uniform thermal load less than the static buckling critical value.Steady-state response,stable region,and the critical term of stability losing were theoretically studied.Numeric method was used too to study the effect of many parameters such as control parameters,ratio of slenderness to length,damping parameter,etc on the amplitude-frequency response and phase-frequency response of the primary parametic system.The numeric result indicated that the velocity feedback control law was effective." @default.
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• W2364291777 date "2009-01-01" @default.
• W2364291777 modified "2023-09-25" @default.
• W2364291777 title "Primary parametric resonance and control of beams subjected to thermal shock load" @default.
• W2364291777 hasPublicationYear "2009" @default.
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