Abstract: The governing equations of the linear initial stress problem are obtained from the pertinent equations of large deformation analysis. These equations are then cast in the framework of a variational ...

Abstract: For the linear free vibration of minimum surface membranes, the governing equations and the associated variational functional are derived. Using the basic geometrical characteristics of any two ...

Abstract: Application of Hamilton’s principle to large deformation and flow problems is examined with an emphasis on derivation of the Eulerian equations of motion as stationary conditions of the functional. ...

Abstract: The Hamilton-Jacobi partial differential equation is solved for potential energy functionals of constant, linear, and quadratic form using a class of nonseparable solutions; these solutions give ...

Abstract: Hamilton’s principle was developed for the modeling of dynamic systems in which time is the principal independent variable and the resulting equations of motion are second-order differential ...

Abstract: The manipulator considered in this paper consists of a flexible link and a flexible joint. The coupling effect between link and joint deflections is investigated. The dynamic equations for the ...

Abstract: The concepts of kinetic energy and complementary kinetic energy permit to distinguish between two different formulations of what happens to be the same quantity in Newtonian mechanics. These ...