Keywords

Transfer matrices, Instantaneous-structure discretization, Lumped-mass modeling, Natural frequency and mode-shape calculation, Elastic crank-slider with flexible connecting rod

Abstract

Transfer matrices are used in the dynamic analysis of planar elastic mechanisms. Mechanism motion is discretized by dividing the motion into a finite number of intervals over which the mechanism is considered to be an instantaneous structure with constant geometry. Transfer matrix methods are then used to calculate the natural frequencies and corresponding mode shapes of the instantaneous structure. A transfer matrix relating the continuous, non-zero components of the state vector across a pin joint is developed. An elastic four bar mechanism and a crank slider mechanism with a rigid crank and elastic connecting rod are analyzed using lumped mass models. Results of the four bar mechanism analysis show good correlation with results obtained by others using finite element methods.

Notes

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Graduation Date

1988

Semester

Fall

Advisor

Kitis, Levent

Degree

Master of Science (M.S.)

College

College of Engineering

Department

Mechanical Engineering and Aerospace Sciences

Format

PDF

Pages

119 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0023902

Subjects

Dissertations; Academic -- Engineering; Engineering -- Dissertations; Academic; Structural dynamics--Mathematical models; Structural analysis (Engineering)--Matrix methods; Matrix analytic methods; Joints (Engineering)--Mathematical models; Manipulators (Mechanism)--Mathematical models

Accessibility Status

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