000012076 001__ 12076
000012076 005__ 20141205160016.0
000012076 04107 $$aeng
000012076 046__ $$k2008-10-12
000012076 100__ $$aWen, Ying
000012076 24500 $$aPrinciple of Stationary Total Potential Energy in Structural Dynamics: Theory and Applications

000012076 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000012076 260__ $$b
000012076 506__ $$arestricted
000012076 520__ $$2eng$$aIn this work we derive the principle of stationary total potential energy in structural dynamics firstly presented by the second of the authors and demonstrate its application to the formulation of structural dynamic problems. The analysis procedure is performed in terms of pre-defined potential energy of the vibrating structure. The implementation implies that the entire structural system plus the load system can be regarded as conservative in this study. It will be of interest to note that this principle is an extension of the principle of stationary potential energy in statics to account for dynamic effects. In practice, the proposed theory is used in conjunction with a new matrix assembly technique called the “ set-in-right-position” rule also proposed by us to obtain finite element formulations for vibrations of engineering structures. Such an approach enables another way of efficient formulating the equations of motion of a complete finite element model. Finally, several illustrative examples are presented to testify the approach and to discuss the applicability of the present formulation.

000012076 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012076 653__ $$aEquations of motion, Finite element formulation, Principle of stationary total potential energy in structural dynamics, “Set-in-right-position”rule

000012076 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000012076 720__ $$aWen, Ying$$iZeng, Qing-Yuan
000012076 8560_ $$ffischerc@itam.cas.cz
000012076 8564_ $$s305022$$uhttps://invenio.itam.cas.cz/record/12076/files/05-01-0180.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 05-01-0180.
000012076 962__ $$r9324
000012076 980__ $$aPAPER