This method derives equations for free vibration using dynamic stiffness and higher order shear deformation theory, suggesting improved analysis approaches.
Key Points
The dynamic stiffness method quantifies free vibration characteristics of beams and frameworks with greater accuracy.
Hamilton's principle is employed to derive governing differential equations, linking potential and kinetic energies.
Higher order shear deformation theory enhances the understanding of flexural vibrations, resulting in improved displacement and moment calculations.
The application of the Wittrick-Williams algorithm allows for an effective analysis of individual beams and frameworks.