TY - JOUR
T1 - Time finite element method for dynamic analysis of elastic mechanisms in link coordinate systems
AU - Wang, Yu (Michael)
AU - Wang, Zaiping
N1 - Funding Information:
This work is carried out as part of a project supported by the National Science Foundation (USA) under the grant MSS-9308663, which is gratefully acknowledged.
PY - 2001/1
Y1 - 2001/1
N2 - A time finite element method is developed for the steady-state solutions of vibrating elastic mechanisms. The governing equations of motion for each individual link are described in a link (local) coordinate system with constant coefficients. The set of second order differential equations for all links are then coupled by a set of constitutive equations of elastic joint models describing the link interconnections. In utilizing time finite elements which discretize the forcing time period into a number of time intervals, the elastic motion is approximated by a set of temporal nodes of all spatial degrees of freedom of the mechanism system. The result is a set of linear algebraic system with a sparse structure that can be solved effectively. A scotch yoke mechanism and a four-bar linkage are included as examples to illustrate the modeling and solution procedures applied.
AB - A time finite element method is developed for the steady-state solutions of vibrating elastic mechanisms. The governing equations of motion for each individual link are described in a link (local) coordinate system with constant coefficients. The set of second order differential equations for all links are then coupled by a set of constitutive equations of elastic joint models describing the link interconnections. In utilizing time finite elements which discretize the forcing time period into a number of time intervals, the elastic motion is approximated by a set of temporal nodes of all spatial degrees of freedom of the mechanism system. The result is a set of linear algebraic system with a sparse structure that can be solved effectively. A scotch yoke mechanism and a four-bar linkage are included as examples to illustrate the modeling and solution procedures applied.
UR - http://www.scopus.com/inward/record.url?scp=0035216628&partnerID=8YFLogxK
U2 - 10.1016/S0045-7949(00)00120-6
DO - 10.1016/S0045-7949(00)00120-6
M3 - Article
AN - SCOPUS:0035216628
SN - 0045-7949
VL - 79
SP - 223
EP - 230
JO - Computers and Structures
JF - Computers and Structures
IS - 2
ER -