Construction of nonlinear equations of motion for orthotropic plates / A. B. Akhmedov, S. V. nd Sheshenin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 3. P. 36-39 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

This paper presents the nonlinear dynamic equilibrium equations for an orthotropic plate based on the 3D nonlinear equations of elasticity theory. The resulting plate model provides a high accuracy. The advantage in accuracy is shown in statics using the Vlasov model problem of a hinge-supported plate under sinusoidal load.

Key words: anisotropic plates, nonlinear theory, bending.

№ 3/2012