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1992•Proceedings of the Royal Society of London Series A Mathematical and Physical SciencesRequires access

Mechanism analysis by matrix reduction. I. Statics

Aylmer Johnson

Open publisher page 1 citations

Abstract

Abstract A new type of computerized design aid is described, which raises the need to carry out the simple preliminary static analysis of articulated assemblies of rigid bodies by computer; and a matrix-based method is presented for doing this. This method also forms the basis for a new approach to the kinematic analysis of such assemblies, which in turn provides the inertia (D’Alembert) forces for the static analysis.

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What this paper is about

Abstract A new type of computerized design aid is described, which raises the need to carry out the simple preliminary static analysis of articulated assemblies of rigid bodies by computer; and a matrix-based method is presented for doing this. This method also forms the basis for a new approach to the kinematic analysis of such assemblies, which in turn provides the inertia (D’Alembert) forces for the static analysis.

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Available abstract

Abstract A new type of computerized design aid is described, which raises the need to carry out the simple preliminary static analysis of articulated assemblies of rigid bodies by computer; and a matrix-based method is presented for doing this. This method also forms the basis for a new approach to the kinematic analysis of such assemblies, which in turn provides the inertia (D’Alembert) forces for the static analysis.

Key concepts: Statics, Kinematics, Mechanism (biology), Static analysis, Matrix (chemical analysis), Reduction (mathematics), Simple (philosophy), Computer science

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