By N.E. Shanmugam, C.M. Wang
A concise evaluate of the newest study and the way it may be utilized in the sector, with a panel of distinctive editors and a crew of foreign participants, this publication is a useful reference resource. It discusses the modeling of plates for results reminiscent of transverse shear deformation and rotary inertia, meeting of plates in forming thin-walled individuals, and altering fabric houses in composite, laminated and functionally graded plates. It comprises discussions of modern options for linear and nonlinear vibration research and concludes with a hybrid method appropriate for parameter identity of plated constructions and hydroelastic research of floating plated constructions.
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Additional info for Analysis and Design of Plated Structures: Volume 2: Dynamics
5 Propped cantilever. 39 studies that improved accuracy is better achieved by introducing more degrees of freedom per element than by using more elements containing fewer degrees of freedom. Many studies have shown that prismatic elements based on lower-order polynomial interpolation functions lead to rather poor representations of the curvature, and this usually produces discontinuities in the bending moment between elements. Lindberg (1963) developed a linearly tapered beam element using cubic interpolation functions, but as pointed out by To (1979) the curvature d2v/dz2 is linear, which is not realistic, and the fact that the ‘loading’ term in Eq.
1951), Approximate analytical methods for determining natural modes and frequencies of vibration, Massachusetts Institute of Technology Report ONR Proj. NR-035-259, 141–146. W. J. (1956), Free lateral vibration of beams of variable crosssection. ZAMP 7, 501–520. Thomas, J. and Dokumaci, E. (1973), Improved finite elements for vibration analysis of tapered beams. The Aeronautical Quarterly, 24, 39–46. P. (1955), Vibration Problems in Engineering, Van Nostrand Company, Princeton, New Jersey. S. (1979), Higher order taper beam finite elements for vibration analysis.
Xiang, Y. and Kitipornchai, S. (1995b), Research on thick plate vibration: a literature survey. Journal of Sound and Vibration, 180, 163–176. , Xiang, Y. and Kitipornchai, S. (1998), Vibration of Mindlin Plates: Programming the p-Version Ritz Method, Elsevier, Amsterdam. M. (1963), Vibration of non-uniform beams. The Aeronautical Quarterly, 14, 387–395. N. P. (1957), Vibration design charts. Transactions, ASME, 79, 1459–1475. H. B. (1964), Transverse vibrations of tapered cantilever beams with end loads.
Analysis and Design of Plated Structures: Volume 2: Dynamics by N.E. Shanmugam, C.M. Wang