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ME 333: Mechanics - Fundamentals and Variational Methods

The goal of the class is to introduce the foundations of the calculus of variations and its application to obtaining the equations of motion of mechanical systems, beginning with systems of particles, and progressing towards one-dimensional continuum system, to finish with three-dimensional continuum systems. In particular, the basics of tensor algebra and calculus are introduced, and utilized to obtain the linear elasticity equations. The equations that describe the deformation of reduced-order structural models, such as beams and plates, are obtained through the proper imposition of kinematic constraints on the variational principle.
Last offered: Autumn 2018
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