SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 111-119.

SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES

徐加初¹, 刘人怀²

1. Department of Aircraft Engineering, Nanjing University of Aeronauties and Astronautics, Nanjing 210016, P.R.China;
2. Institute of Mathematics and Mechanics Jinan University, Guangzhou 510632, P.R.China

收稿日期:1996-03-06 出版日期:1998-02-18 发布日期:1998-02-18
基金资助:
Project supported by the National Natural Science Foundation and National Aeronautical Foundation of China

SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES

Xu Jiachu¹, Liu Renhuai²

1. Department of Aircraft Engineering, Nanjing University of Aeronauties and Astronautics, Nanjing 210016, P.R.China;
2. Institute of Mathematics and Mechanics Jinan University, Guangzhou 510632, P.R.China

Received:1996-03-06 Online:1998-02-18 Published:1998-02-18
Supported by:
Project supported by the National Natural Science Foundation and National Aeronautical Foundation of China

摘要/Abstract

摘要： In this paper, nonlinear forced vibration of symmetrically laminated rectilined rectilinearly orthotropic circular plates excited by a harmonic force q_ocosωt including effects of transverse shear deformation is discussed. The ahalytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin’s method. Finally, the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period to linear period for nonlinear free vibration of the plate.

关键词: large amplitude forced vibration rectilinear orthotropy, laminaied circular plate, transverse shear

Abstract: In this paper, nonlinear forced vibration of symmetrically laminated rectilined rectilinearly orthotropic circular plates excited by a harmonic force q_ocosωt including effects of transverse shear deformation is discussed. The ahalytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin’s method. Finally, the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period to linear period for nonlinear free vibration of the plate.

Key words: large amplitude forced vibration rectilinear orthotropy, laminaied circular plate, transverse shear

徐加初;刘人怀. SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 111-119.

Xu Jiachu;Liu Renhuai. SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 111-119.

参考文献

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SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES

SHEAR EFFECTS ON LARGE AMPLITUDE FORCED VIBRATION OF SYMMETRICALLY LAMINATED RECTILINEARLY ORTHOTROPIC CIRCULAR PLATES

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