Abstract
The free vibration of the sewing needle is divided into lateral free vibrations and an axial free vibration. In this work a theoretical study that concerns the free lateral vibrations will be applied to the sewing needle by the use of Gorman’s Eigen values (Daniel, 1975) technique. [...]Abstract
In the present study, large amplitude free vibration of beams resting on variable elastic foundation is investigated. The Euler–Bernoulli hypothesis and the Winkler model have been applied for beam and elastic foundation, respectively. The beam is axially loaded and is restrained [...]Abstract
The vertical free vibration equation of the suspension bridge is a coupled equation composed of a differential equation and an integral equation. Only approximate numerical approaches are presented in previous studies. The analytical expression of structural free vibration is deduced [...]