Dynamic stability of a plate on multiple line and point supports subject to pulsating conservative in-plane loads

✍ Scribed by H.P. Lee; T.Y. Ng

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 672 KB
• Volume: 185
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0383

✦ Synopsis

The equations of motion of a classical thin plate on multiple line and point supports and subjected to prescribed time-dependent in-plane conservative loads are formulated based on Hamilton's principle and the assumed mode method. The effects of sinusoidal perturbations in respect of the in-plane loads are then examined by using Bolotin's method. The respective regions of instability are determined by converting the resulting equations of motion of the standard form of a generalized eigenvalue problem. Instability regions are presented for various combinations of line and point supports, average value and amplitude of the sinusoidal perturbations of the in-plane loads.