ME 561

Structural Optimization Using Variational and Numerical Methods

Pennsylvania State University-Main Campus · UGRD · Fall 2026

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Shape and size optimization of elastic structures, continuous and discrete solution methods and numerical algorithms, design of compliant mechanisms. ME 561 Structural Optimization Using Variational and Numerical Methods (3) Optimal Structural Design is a graduate-level course generally offered in spring semester. The course is designed for graduate students in mechanical engineering or related fields who have already taken a course in finite element analysis. The course covers techniques in structural optimization from classical variational-based methods to modern numerical and finite element-based methods. Topics include shape and size optimization of elastic structures, continuous and discrete methods for least weight maximum stiffness design, solution using optimality criteria methods, structural topology optimization, gradient-based solution methods and numerical algorithms, and design project(s) using these methods. Methods are applied to examples such as beam and truss structures, compliant mechanisms, and piezoelectric actuators.Computer programming skills using software such as Matlab are required. Students are evaluated based on homework assignments, review and presentation of articles from the literature, class participation, and a group design project.

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Class #pennsylvania_main_campus-ME561Fall 2026UGRD3 credits
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