TY - JOUR

T1 - A Lagrangian multibody code for deriving the symbolic state-space equations of motion for open-loop systems containing flexible beams

AU - Forehand, David I.M.

AU - Khanin, Raya

AU - Cartmell, Matthew P.

PY - 2004/9/3

Y1 - 2004/9/3

N2 - In this study, the development of a symbolic multibody code is described. This code uses Lagrange’s equations to derive automatically the state-space equations of motion, in relative coordinates, for open-loop systems made up of rigid bodies and flexible Timoshenko beams. The algorithm is then encoded in Mathematica as the package MultiFlex.m and the straightforward application of MultiFlex to two examples with 1 degree of freedom and 14 degrees of freedom, respectively, is presented. The MultiFlex package represents one part of a suite of programs which are being developed by the authors in order to provide entirely symbolic analysis of multi-degree of freedom problems in engineering dynamics.

AB - In this study, the development of a symbolic multibody code is described. This code uses Lagrange’s equations to derive automatically the state-space equations of motion, in relative coordinates, for open-loop systems made up of rigid bodies and flexible Timoshenko beams. The algorithm is then encoded in Mathematica as the package MultiFlex.m and the straightforward application of MultiFlex to two examples with 1 degree of freedom and 14 degrees of freedom, respectively, is presented. The MultiFlex package represents one part of a suite of programs which are being developed by the authors in order to provide entirely symbolic analysis of multi-degree of freedom problems in engineering dynamics.

KW - multibody code

KW - symbolic state space equations of motion

KW - lagrangian approach

KW - open loop systems

KW - Timoshenko beam

UR - http://www.sciencedirect.com/science/article/pii/S0378475404001569

UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-4344668739&partnerID=40&md5=9ef1fa55834108cd82361f266090c8c4

U2 - 10.1016/j.matcom.2004.05.010

DO - 10.1016/j.matcom.2004.05.010

M3 - Article

VL - 67

SP - 85

EP - 98

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

IS - 1-2

ER -