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Dynamics and Vibration Analysis provides a collection of math models to solve problems based on the methods described in Formulas for Natural Frequency and Mode Shape by Robert D. Blevins, Ph. D.

It will help you find solutions for problems in:

  • Geometric properties of plane areas and solid bodies, including plane sections and homogeneous bodies
  • Springs and pendulum systems--stiffness; mass and spring systems; rigid body, torsion spring systems; and pendulum systems
  • Straight and curved beams and frames, rings, circular arcs, portal frames, and more
  • Cables and cable trusses
  • Plates--circular, elliptical, rectangular, linearly tapered rectangular, parallelogram, triangular, other shapes, grillages, stiffened plates, and more
  • Fluid systems--acoustic cavities, Helmholtz resonators, waves in basins of constant and variable depth, ships with lateral and longitudinal symmetry, and more
  • Membranes
  • Shells--cylindrical, conical, spherical, and more
  • Structural vibrations in a fluid