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Constructive Solid Geometry of the Trihedron
Publisher: The American Society of Mechanical Engineers (ASME)
Two Generalizations of the Isometric Projection in Geometric Design
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The well-known pictorial drafting technique of isometric drawing is here generalized in two ways, called “isoclinal” and “axial,” or collectively, “symmetric.” Although the isoclinal projection ...
Resizing: Predicting a New Geometric Programming Optimum as Coefficients Vary
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Imagine that an optimal solution is available for a constrained geometric program, and suppose one wishes a satisfactory solution for greatly different values of some of the coefficients. An ...
Degeneracy, Singularity, and Multiplicity in Least-Squares Design of a Function-Generating Mechanism
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Error Linearization (EL), an iterative curve-fitting procedure recently proposed for designing minimum squared error four-bar function generating mechanisms, suffers from frequent instability. The ...
A Maximal Activity Principle for Eliminating Overconstrained Optimization Cases
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In searching for an optimum by examining assignments of active constraints, one wishes to avoid assignments with no solution. A simple Maximal Activity Principle is stated to detect situations ...
Monotonicity Analysis of Taguchi’s Robust Circuit Design Problem
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Taguchi’s robust circuit design problem can be formulated rigorously as an optimization problem. A necessary condition for optimality is that the control range be centered about the target value. ...
Error Linearization in the Least-Squares Design of Function Generating Mechanisms
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Minimum squared error mechanism synthesis can be done relatively easily by Error Linearization, a nonlinear regression procedure long known to statisticians. It has a descent property not possessed ...
Global Non-Iterative Design Optimization Using Monotonicity Analysis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The numerical techniques used in conventional optimization may not work for engineering design problems, which often present peculiar difficulties. Monotonicity analysis can identify a global optimum ...
Regional Monotonicity in Optimum Design
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Regional monotonicity is introduced to identify dominant constraints and simplify non-monotonic expressions in optimum design problems. The technique is applied to obtain a simple solution for the ...
Spherical and Circular Blending of Functional Surfaces
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method is presented for designing smooth blending between structural surfaces when only local alterations of the original surfaces are allowed. A simple kinematic analogy to the blending process ...