The present paper describes the dynamic coupled vibrations of elastic thin-walled structures of arbitrary open cross section influenced by various forms of coupling. The formulations employ Vlasov's assumptions and both warping and rotary inertia are included in the present developments. Because of the complex nature of such problems, the finite element method is employed in conjunction with an implicit self-starting unconditionally stable methodology for the dynamic computations. Three types of test examples dealing with triple, double, and no coupling are described to illustrate the effects of coupling and rotary inertia on the dynamic behavior of thin-walled structures.
Bibliographical noteFunding Information:
~ck~o~le~ge~~fs-~ea uthors are very pleasedt o acknowledgteh e support,i n Part, by NASA-~ngley Research Center under grant NAG-l-808. Partial supporti,n part, by the U.S. Army High Performance ComputingR esearchC enter( AHPCRC) on a contract fromt heA rmy ResearcOhf fice( ARO) andt heM innesota Su~r~mputeIns titutei,s atsog‘ ~t~f~lya cknowledged.