References
131
Problem 5.5 The shear beam in Example 5.2 is subjected to the harmonic forcing
function f (x, t) = q sin(ν t) with frequency ν > 0 and amplitude q > 0. Find the
forced vibration solution of the beam. Assume zero initial conditions.
Problem 5.6 A simple support is added to the cantilever of the shear beam of the
previous problem. Find the first five modal frequencies and shapes. Plot the modal
shapes.
References
1. B. Friedman, Principles and Techniques of Applied Mathematics (John Wiley & Sons Inc., New
York, 1956)
2. I. Gohberg, S. Goldberg, Basic Operator Theory (Birkhäuser, Boston, 1980)
3. E.P. Popov, Engineering Mechanics of Solids (Prentice Hall, New York, 1998)
131
Problem 5.5 The shear beam in Example 5.2 is subjected to the harmonic forcing
function f (x, t) = q sin(ν t) with frequency ν > 0 and amplitude q > 0. Find the
forced vibration solution of the beam. Assume zero initial conditions.
Problem 5.6 A simple support is added to the cantilever of the shear beam of the
previous problem. Find the first five modal frequencies and shapes. Plot the modal
shapes.
References
1. B. Friedman, Principles and Techniques of Applied Mathematics (John Wiley & Sons Inc., New
York, 1956)
2. I. Gohberg, S. Goldberg, Basic Operator Theory (Birkhäuser, Boston, 1980)
3. E.P. Popov, Engineering Mechanics of Solids (Prentice Hall, New York, 1998)