An introduction to modern variational techniques in mechanics and engineering /
[Book]
B.D. Vujanovic, T.M. Atanackovic
x, 346 pages :
illustrations ;
25 cm
Includes bibliographical references (pages 333-341) and index
I. Differential variational principles of mechanics -- 1. The elements of analytical mechanics expressed using the Lagrange-D'Alembert differential variational principle -- 2. The Hamilton-Jacobi method of integration of canonical equations -- 3. Transformation properties of Lagrange-D'Alembert variational principle: Conservation laws of nonconservative dynamical systems -- 4. A field method suitable for application in conservative and nonconservative mechanics -- II. The Hamiltonian integral variational principle -- 5. The Hamiltonian variational principle and its applications -- 6. Variable end points, natural boundary conditions, Bolza problems -- 7. Constrained problems -- 8. Variational principles for elastic rods and columns