The kinematic analysis of the third class mechanism

Abstract

It is necessary to make link mechanisms calculation to the strength at designing of flat link mechanisms of high class after definition of block diagrams and link linear sizes i.e. it is rationally to choose their forms and to determine the section sizes. The algorithm of the definition of dimension of link mechanism lengths of high classes (MHC) and their metric parameters at successive approach is offered in this work.

Dynamic Analysis of the Press Automation

“…Specifically, we derive a geometric (i.e., coordinate free) formulation of the d'Alembert-Lagrange equation. We demonstrate that in a coordinate neighborhood on the configuration manifold, an explicit form of the d'Alembert-Lagrange equation can be obtained with respect to an arbitrary frame on the tangent bundle [3]. We further show that if there exists a set of independent 1-forms which constitute a basis of the dual frame, then the independent equations of motion can be determined.…”

“…The forces accumulated in motion and accordingly resistance forces [3]. In this algorithm (1) the d'Alembert-Lagrange equations are applied:…”

Kinematic Synthesis of Mechanism for System with a Technical Vision

“…the necessary conditions for minimum of the sum of squares of the weighted difference: (10) may be written as the following system of equations:…”

“…Apparently, equations of this system are the same as the three equations of the thirteen degree in the three unknown functions given in the work by Zhauyt et al [8][9][10], though in this case we have a system of six equations in six unknown functions. Solution of system (24) is labor-intensive task, so it is more effective to apply a search algorithm for the minimum of the function S stated below.…”

“…At the theoretical level, it is proposed a new approach to the design of spatial mechanisms, according to which the design process is based on the kinematic synthesis of four-link initial kinematic chain and associable kinematic chains or two-element chains. Article differs by serious problem statement, interesting theoretical study and practical test Zhauyt et al [10]. The work contains new scientific results having theoretical and applied significance.…”