Method of transmission matrix for investigating planar relative motions

Abstract

. In the paper [2] the method of transmission matrix applying for the case of a loop with turning pairs investigated. In the present paper the kinematics of a loop connected by composite joints, i.e. the one of revolute-translational joints are discussed now . By means of proposed method the planar motion of rigid bodies is presented by a point of general view . Especially,the introduced method allows to apply effectively universal softwere, for example, MATCAD, MAPLE, ... for investigating complex mechanical systems.

Determining reaction forces in planar mechanisms

“…Finding the matrix of inertia A of the constraint-released system can be carried out through the method of transmission matrix [4,5] or the direct approach. The matrix A of 4x4 sizes is given as follows…”

Kinematics of a rigid about a fixed point

“…Reference [2] presents a systematic investigation of this general subj ect though the methods used are com plex. This paper describes the use of transmission matrices [5,6] as a simple but powerful approach with the added advantage of being in a form well suited for use with the Mathcad and Mathlab software packages.…”