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RISNonlinear Integer and Discrete Programming in Mechanical Design Optimization
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general purpose algorithm for the solution of nonlinear mathematical programming problems containing integer, discrete, zero-one, and continuous design variables is described. The algorithm ...
Nonlinear Integer and Discrete Programming for Topological Decision Making in Engineering Design
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The use of integer, discrete, and zero-one design variables to represent topological design decisions is presented. A general purpose algorithm for solving nonlinear problems involving material ...
A New Dynamic Basis Algorithm for Solving Linear Programming Problems for Engineering Design
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new linear programming algorithm is proposed which has significant advantages compared to a traditional simplex method. A search direction is generated along a common edge of the active ...
Shape Optimization of Cam Profiles Using a B-Spline Representation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An arbitrary acceleration profile for the cam follower acceleration is generated using a B-spline representation. The control point locations for the B-spline become the design variables in the ...
The Utility of Nonlinear Programming Algorithms: A Comparative Study—Part I
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A comprehensive comparative study of nonlinear programming algorithms, as applied to problems in engineering design, is presented. Linear approximation methods, interior penalty and exterior penalty ...
The Utility of Nonlinear Programming Algorithms: A Comparative Study—Part II
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A comprehensive comparative study of nonlinear programming algorithms, as applied to problems in engineering design, is presented. Linear approximation methods, interior penalty and exterior penalty ...
Optimal Flywheel Design With a General Thickness Form Representation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general solution procedure is described for the optimal design of flywheel forms. A continuously differentiable thickness function is developed with undetermined coefficients and closed form ...
Optimal Design of a Class of Welded Structures Based on Design for Latitude
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The minimization of the sensitivity of a design to variations in uncontrollable parameters is illustrated. The procedure is applied to the design of a class of welded beam structures which ...
A Dependable Method for Solving Matrix Loop Equations for the General Three-Dimensional Mechanism
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new method of generating solutions for the matrix method of linkage analysis is considered. Optimization techniques are used to close the matrix loop equations iteratively until they are ...
Application of a New Penalty Function Method to Design Optimization
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents Schuldt’s Method of Multipliers for nonlinear programming problems. The basics of this new exterior penalty function method are discussed with emphasis upon the ease of ...