DYNAMICS OF PRESTRESSED ROTATING ANISOTROPIC PLATES SUBJECT TO TRANSVERSE LOADS AND HEAT SOURCES, PART I: MODELLING AND SOLUTION METHOD

• Published in: Journal of sound and vibration Vol. 236; no. 3; pp. 457 - 485
• Main Authors: SON, HEUIGI, KIKUCHI, NOBORU, GALIP ULSOY, A., YIGIT, AHMET S.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 21.09.2000; Elsevier
• Subjects: Beams, plates and shells; Computational techniques; Exact sciences and technology; Finite-element and galerkin methods; Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Physics; Solid mechanics; Structural and continuum mechanics; Structural mechanics (beam, string...); Theory and numerical methods; Stiffness matrix; Plate theory; Fiber reinforced material; Numerical method; Traction; Modeling; Convection; Composite material; Finite element method; Rotating system; Dynamics; Stiffness; Numerical stability; Stratified material; Axial speed; Prestress; Prestressed plate; Homogenization; Translation motion; Transverse load; Orthotropic material; Heat source; Analysis method; Matrix fiber interface; Gyroscope; Properties of materials; Thermoelasticity; Von Kárman equation; Anisotropic plate
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.2000.3000

This paper considers the application of the finite element method for the analysis of translating or rotating plates, based on Mindlin plate theory and the von Kármán strain expression, in the context of linear thermoelasticity. The existence of convective terms generates gyroscopic terms, unstabilizing effects in the stiffness matrix, and radial in-plane tension. Homogenization theory, applicable to not only determining the global material properties for composite materials like laminate or fiber-reinforced matrix, but also computing microscopic stress levels, was applied to obtain orthotropic material properties. The quasi-static stretching assumption was used to simplify the governing equations. A second order implicit time-integration scheme, applicable for both the linear and non-linear governing equations, was presented, which allows a time increment sufficiently large (without numerical stability problems) based on the accuracy needed. This paper (Part I) presents the problem formulation and solution methods, while a companion paper (Part II) presents and discusses results for specially orthotropic rotating disks.