Inverse Static Analysis of a Planar System With Flexural Pivots
Author:
Carricato Marco1, Parenti-Castelli Vincenzo1, Duffy Joseph2
Affiliation:
1. Department of Mechanical Engineering—DIEM University of Bologna Viale Risorgimento 2, 40136 Bologna, Italy 2. Center for Intelligent Machines and Robotics University of Florida Gainesville, FL 32611
Abstract
This article presents the inverse static analysis of a two degrees of freedom planar mechanism with flexural pivots. Such analysis aims to detect the entire set of equilibrium configurations of the system once the external load is assigned. The presence of flexural pivots represents a novelty, although it remarkably complicates the problem since it causes the two state variables to appear in the solving equations as arguments of both trigonometric and linear functions. The proposed procedure eliminates one variable and leads to two equations in one unknown only. The union of the root sets of such equations constitutes the global set of solutions of the problem. Particular attention is paid to the analysis of the reliability of the final equations: critical situations, in which the solving equations may hide solutions or yield false ones, are studied. Finally, a numerical example is provided and, in the Appendix, a special design that offers computational advantages is proposed.
Publisher
ASME International
Subject
Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference14 articles.
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