Chen, P. C.; Ramkumar, R. L. Static and dynamic analysis of clamped orthotropic plates using Lagrangian multiplier technique. (English) Zbl 0615.73071 AIAA J. 25, 316-323 (1987). An analysis was developed to predict the static and dynamic response of clamped orthotropic laminates. The dynamic loading conditions included low-velocity impact by a hard object. Shear deformation effects in the clamped plate were accounted for using a higher-order plate theory. The natural frequencies and the corresponding mode shapes were computed by solving the eigenvalue problem using Lagrangian multiplier technique. The dynamic analysis incorporated the static response and the eigenvalue solutions into the mode acceleration technique. The static and dynamic analyses were validated by demonstrating a good correlation between the calculated results, available experimental data, and other analytical results. The validated analysis was used to predict the damage introduced in clamped orthotropic plates due to low-velocity impact by a hard object. Cited in 1 Document MSC: 74H45 Vibrations in dynamical problems in solid mechanics 49R50 Variational methods for eigenvalues of operators (MSC2000) 74K20 Plates 74E10 Anisotropy in solid mechanics 74E30 Composite and mixture properties Keywords:free vibration; dynamic response; clamped orthotropic laminates; low- velocity impact; hard object; Shear deformation effects; higher-order plate theory; natural frequencies; mode shapes; eigenvalue problem; Lagrangian multiplier technique; static response; mode acceleration technique PDFBibTeX XMLCite \textit{P. C. Chen} and \textit{R. L. Ramkumar}, AIAA J. 25, 316--323 (1987; Zbl 0615.73071) Full Text: DOI