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Design of Special Planar Linkages: Structural Dynamics of Planar Linkages [In this chapter, we propose a structural dynamics method for foldable linkages based on transfer matrix. The foldable stair and deployable wing are all typical planar linkages which are made up of a number of identical units. For each unit, every link is supposed to be an Euler-Bernoulli beam. Therefore, the dynamics of each segment beam between every two adjacent revolute joints can be precisely expressed by the transfer matrix of the segment with the variables of boundary conditions of the joints. In this way, the structural dynamics of the whole structure can be built using the least number of variables compared with the traditional methods. In addition, this algorithm avoids the problem of the traditional transfer-matrix method that the number of variables greatly increases when there are a huge number of cross joints within a structure.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

56 pages

Publisher
Springer Berlin Heidelberg
ISBN
978-3-642-38447-9
Pages
159 –215
DOI
10.1007/978-3-642-38448-6_8
Publisher site
See Chapter on Publisher Site

### Abstract

[In this chapter, we propose a structural dynamics method for foldable linkages based on transfer matrix. The foldable stair and deployable wing are all typical planar linkages which are made up of a number of identical units. For each unit, every link is supposed to be an Euler-Bernoulli beam. Therefore, the dynamics of each segment beam between every two adjacent revolute joints can be precisely expressed by the transfer matrix of the segment with the variables of boundary conditions of the joints. In this way, the structural dynamics of the whole structure can be built using the least number of variables compared with the traditional methods. In addition, this algorithm avoids the problem of the traditional transfer-matrix method that the number of variables greatly increases when there are a huge number of cross joints within a structure.]

Published: Jul 8, 2013

Keywords: State Vector; Transfer Matrix; Torsional Vibration; Longitudinal Vibration; Vertical Link