In this paper, a solution of axisymmetric large amplitude vibration is presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account . In solving the problem , the modified i...In this paper, a solution of axisymmetric large amplitude vibration is presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account . In solving the problem , the modified iteration method is proposed. Then our results are compared with those from paper [1].展开更多
n this paper, fundamental equations of the axisymmetric large amplitude .freevibration for circular sandwich plates are derived by means of Hamilion principle. Inmosi cases, the sandwich plates are composed of very th...n this paper, fundamental equations of the axisymmetric large amplitude .freevibration for circular sandwich plates are derived by means of Hamilion principle. Inmosi cases, the sandwich plates are composed of very thin faces, then the precedingfundamental equations are simplified considerably. For an illusirative example, a circu-lar sandwich plate with edge clamped but free to slip is considered, and then we gol a pure analytic solution of the axisvmmetric large amplitude free vibration with the aid of the modified iteration method. and derived an analytic relation for the amplitude-frequency response.展开更多
This paper addresses the effect of leakage on the natural frequencies of a large amplitude vibrating panel backed by a cavity, which has not been considered in many other related studies. The structural-acoustic gover...This paper addresses the effect of leakage on the natural frequencies of a large amplitude vibrating panel backed by a cavity, which has not been considered in many other related studies. The structural-acoustic governing equations are employed to study this nonlinear problem. An elliptical integral method, which was recently developed for the nonlinear panel cavity problem, is introduced here to solve for the structural-acoustics responses. The present results agree reasonably well with those obtained from the classical harmonic balance method. Modal convergences of the nonlinear solutions are performed to verify the proposed method. The effects of vibration amplitude and leakage size are studied and discussed. It is found that （1） the edge leakages in a panel cavity system significantly affect the natural frequency properties, and （2） the edge leakages induce a low frequency acoustic resonance.展开更多
文摘In this paper, a solution of axisymmetric large amplitude vibration is presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account . In solving the problem , the modified iteration method is proposed. Then our results are compared with those from paper [1].
文摘n this paper, fundamental equations of the axisymmetric large amplitude .freevibration for circular sandwich plates are derived by means of Hamilion principle. Inmosi cases, the sandwich plates are composed of very thin faces, then the precedingfundamental equations are simplified considerably. For an illusirative example, a circu-lar sandwich plate with edge clamped but free to slip is considered, and then we gol a pure analytic solution of the axisvmmetric large amplitude free vibration with the aid of the modified iteration method. and derived an analytic relation for the amplitude-frequency response.
基金Project supported by the City USRG Grant(No.7004701),China
文摘This paper addresses the effect of leakage on the natural frequencies of a large amplitude vibrating panel backed by a cavity, which has not been considered in many other related studies. The structural-acoustic governing equations are employed to study this nonlinear problem. An elliptical integral method, which was recently developed for the nonlinear panel cavity problem, is introduced here to solve for the structural-acoustics responses. The present results agree reasonably well with those obtained from the classical harmonic balance method. Modal convergences of the nonlinear solutions are performed to verify the proposed method. The effects of vibration amplitude and leakage size are studied and discussed. It is found that （1） the edge leakages in a panel cavity system significantly affect the natural frequency properties, and （2） the edge leakages induce a low frequency acoustic resonance.
