Large amplitude free flexural vibration of stiffened plates

• Published in: AIAA journal 1996-11, Vol.34 (11), p.2377-2383
• Main Authors: Sheikh, Abdul Hamid, Mukhopadhyay, Madhujit
• Format: Article
• Language: English
• Subjects: Aircraft; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mechanical engineering; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves
• ISSN: 0001-1452; 1533-385X
• DOI: 10.2514/3.13404

Large amplitude, free flexural vibration of stiffened plates has been investigated by the spline finite strip method. This is the first attempt to get a satisfactory solution of this problem by spline finite strip method of the form of an eigenvalue problem. The effects of large amplitude have been taken into account by adopting van Karman's large deflection plate theory and the formulation has been done in the total Lagrangian coordinate system. The resulting nonlinear equations have been solved by the newly developed method, a linearized updated mode with nonlinear time function approximation. The generalized form of spline finite strip method has been used for the analysis of plates of arbitrary shapes. The stiffener has been elegantly modeled so that it can be placed anywhere within the plate strip and it need not follow the nodal lines. The arbitrary orientation and eccentricity of the stiffener have been incorporated in the formulation. Plates and stiffened plates have been analyzed, and the results have been presented and compared with those of other investigators.