World Journal of Modelling and Simulation

The free flexural vibration of a stiffened rectangular plate is investigated by using the finite element method (FEM). In the present model, the plate can have arbitrary elastic boundary conditions and arbitrarily located stiffeners. Numerical studies are conducted to analyze the natural frequencies of concentrically/eccentrically stiffened plates with different boundary conditions and the results show good agreement with earlier published results. The present model is also applied to parametric studies examining the effects of the stiffener on the natural frequencies of a glass window. The results show that the natural frequencies of the window are notably influenced by the stiffener and the stiffener’s location. The results also demonstrate the feasibility and effectiveness of the present model.

[1]  Noureddine Atalla,et al.  On the use of a component mode synthesis technique to investigate the effects of elastic boundary conditions on the transmission loss of baffled plates , 2003 .

[2]  Cheuk Ming Mak,et al.  Experimental validation of the sound transmission of rectangular baffled plates with general elastic boundary conditions. , 2011, The Journal of the Acoustical Society of America.

[3]  Issam E. Harik,et al.  Finite element analysis of eccentrically stiffened plates in free vibration , 1993 .

[4]  Alain Berry,et al.  A general formulation for the sound radiation from rectangular, baffled plates with arbitrary boundary conditions , 1990 .

[5]  Rakesh K. Kapania,et al.  Design Optimization for Minimum Sound Radiation from Point-Excited Curvilinearly Stiffened Panel , 2009 .

[6]  Jung-Soo Kim,et al.  Development of a criterion for efficient numerical calculation of structural vibration responses , 2003 .

[7]  Snehashish Chakraverty,et al.  Vibration of Plates , 2008 .

[8]  Abdul Hamid Sheikh,et al.  Free Vibration Analysis Of Stiffened Plates With Arbitrary Planform By The General Spline Finite Strip Method , 1993 .

[9]  Cheuk Ming Mak,et al.  The effects of elastic supports on the transient vibroacoustic response of a window caused by sonic booms. , 2011, The Journal of the Acoustical Society of America.

[10]  W. A. Utley,et al.  The effect of edge conditions on the sound insulation of double windows , 1973 .

[11]  T. P. Holopainen,et al.  Finite element free vibration analysis of eccentrically stiffened plates , 1995 .

[12]  Jay Kim,et al.  Analysis of Sound Transmission Through Periodically Stiffened Panels by Space-Harmonic Expansion Method , 2002 .

[13]  Masashi Yamanaka,et al.  Optimum Stiffener Layout for the Reduction of Vibration and Noise of Gearbox Housing , 2002 .

[14]  M. Latcha,et al.  A Theoretical Analysis of Transient Sound Radiation From a Clamped Circular Plate , 1984 .

[15]  M. Mukhopadhyay,et al.  Free Flexural Vibration Analysis of Arbitrary Plates With Arbitrary Stiffeners , 1999 .

[16]  G. Aksu,et al.  Free Vibration Analysis of Stiffened Plates by Including the Effect of Inplane Inertia , 1982 .

[17]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[18]  P. S. Nair,et al.  On vibration of plates with varying stiffener length , 1984 .

[19]  R. B. Corr,et al.  A simultaneous iteration algorithm for symmetric eigenvalue problems , 1976 .

[20]  Jingtao Du,et al.  An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports , 2009 .

[21]  M. Mukhopadhyay,et al.  A New Stiffened Plate Element for the Analysis of Arbitrary Plates , 2001 .

[22]  W. L. Li Vibration analysis of rectangular plates with general elastic boundary supports , 2004 .

[23]  Zijie Fan,et al.  Transient vibration and sound radiation of a rectangular plate with viscoelastic boundary supports , 2001 .

[24]  M. Mukhopadhyay,et al.  Finite element free vibration of eccentrically stiffened plates , 1988 .

[25]  M. Mukhopadhyay,et al.  Finite element free flexural vibration analysis of arbitrary plates , 1998 .

[26]  J. Quirt Sound transmission through windows I. Single and double glazing , 1982 .