Vibration Analysis of Curvilinearly Stiffened Composite Panel Subjected to In-Plane Loads

This paper presents an efficient finite element approach to study the prestressed vibration mode results of a curvilinearly stiffened composite panel subjected to various in-plane loads. The present method models the plate and the stiffener separately, which allows the stiffener element nodes to not coincide with the plate shell-element nodes. The stiffness and mass matrices of a stiffener are transformed to those of the plate through the displacement compatibility conditions at the plate–stiffener interface via finite element interpolation. Convergence and validation studies have been conducted to verify the present method in the finite element vibration analysis by using the examples from the existing literature. Prestressed vibration mode results are examined for a stiffened composite panel with arbitrarily shaped composite stiffeners in the presence of the in-plane normal and shear loads. Numerical results show the possible benefits of using curvilinear stiffeners to improve the vibration response by ...

[1]  M. Mukhopadhyay,et al.  A new finite element for buckling analysis of laminated stiffened plates , 1999 .

[2]  Abdul Hamid Sheikh,et al.  Buckling and dynamic instability analysis of stiffened shell panels , 2006 .

[3]  K. C. Biswal,et al.  Finite element analysis for stiffened laminated plates using higher order shear deformation theory , 1994 .

[4]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[5]  Rakesh K. Kapania,et al.  Vibration of Plate with Curvilinear Stiffeners Using Mesh-Free Method , 2009 .

[6]  Rakesh K. Kapania,et al.  Buckling and Static Analysis of Curvilinearly Stiffened Plates Using Mesh-Free Method , 2009 .

[7]  Sameer B. Mulani,et al.  Global/Local Optimization of Aircraft Wing Using Parallel Processing , 2016 .

[8]  Paul M. Weaver,et al.  Buckling analysis of stiffened variable angle tow panels , 2014 .

[9]  Rakesh K. Kapania,et al.  Buckling analysis of unitized curvilinearly stiffened composite panels , 2016 .

[10]  Renato Vitaliani,et al.  On the polynomial convergent formulation of a C0 isoparametric skew beam element , 1988 .

[11]  B. Gangadhara Prusty,et al.  Analysis of stiffened shell for ships and ocean structures by finite element method , 2001 .

[12]  Eugenio Oñate,et al.  Structural Analysis with the Finite Element Method Linear Statics , 2013 .

[13]  Alex Velicki,et al.  Future of Flight Vehicle Structures (2000 to 2023) , 2004 .

[14]  Jing Li,et al.  Optimal Design of Unitized Panels with Curvilinear Stiffeners , 2005 .

[15]  Donald Paul,et al.  Flight Vehicle Composite Structures , 2008 .

[16]  M. Mukhopadhyay,et al.  A new triangular stiffened plate element for laminate analysis , 2000 .

[17]  J. Reddy.  Mechanics of laminated composite plates : theory and analysis , 1997 .

[18]  Rakesh K. Kapania,et al.  Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling. , 1989 .

[19]  R. Kapania,et al.  Vibrational Analysis of Unitized Curvilinearly Stiffened Composite Panels Subjected to In-plane Loads , 2016 .

[20]  B. Gangadhara Prusty,et al.  FINITE ELEMENT TRANSIENT DYNAMIC ANALYSIS OF LAMINATED STIFFENED SHELLS , 2001 .

[21]  Dawn C. Jegley,et al.  Status of Advanced Stitched Unitized Composite Aircraft Structures , 2013 .

[22]  Rolands Rikards,et al.  Analysis for buckling and vibrations of composite stiffened shells and plates , 2001 .

[23]  Rakesh K. Kapania,et al.  EBF3PanelOpt: An optimization framework for curvilinear blade-stiffened panels , 2013 .

[24]  Rakesh K. Kapania,et al.  Wing-Box Weight Optimization Using Curvilinear Spars and Ribs (SpaRibs) , 2011 .

[25]  In Lee,et al.  Vibration analysis of anisotropic plates with eccentric stiffeners , 1995 .

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

[27]  J. N. Reddy,et al.  Buckling and vibration of laminated composite plates using various plate theories , 1989 .

[28]  K. C. Biswal,et al.  Free-vibration analysis of stiffened laminated plates using higher-order shear deformation theory , 1996 .

[29]  Rakesh K. Kapania,et al.  Vibration and Buckling Analysis of Curvilinearly Stiffened Plates Using Finite Element Method , 2015 .

[30]  Chunhui Yang,et al.  Recent developments in finite element analysis for laminated composite plates , 2009 .

[31]  Anand Srivastava,et al.  First ply failure analysis of laminated stiffened plates , 2003 .

[32]  M. Mukhopadhyay,et al.  Transient response analysis of laminated stiffened plates , 2002 .