Applied Physics Department, Faculty of Science, Tafila Technical University, Tafila, Jordan. The Euler Lagrange equations and Hamilton’s principle form the basis of Lagrangian or Hamiltonian mechanics ...

A large number of problems in engineering can be formulated as the optimization of certain functionals. In this paper, we present an algorithm that uses the augmented Lagrangian methods for finding ...

Abstract: Based on the new concept of thermal mass which refers to the equivalent mass of the thermal energy in an object according to Einstein's mass-energy relation, the kinetic energy and potential ...

In the context of the Lagrangian and Hamiltonian mechanics, a generalized theory of coordinate transformations is analyzed. On the basis of such theory, a misconception concerning the superiority of ...

Abstract: This paper describes how the partial derivative of the kinetic energy, with respect to the generalized coordinates in the Lagrange equations, can be obtained in analytic form for structures ...

The usual Lagrange equations of motion cannot be directly applied to systems with mass varying explicitly with position. In this particular context, a naive application, without any special ...

The Lagrangian Equations Pendulum Simulator is a Python-based tool that simulates the motion of a pendulum using Lagrangian mechanics. The simulation animates the pendulum's motion in 3D, complete ...

IN your issue of January 29, Mr. Heaviside put forward a demonstration of Lagrange's equations of motion which appears invalid. As neither his interpretation of Newton nor his argument based thereon ...