9.7 Response of Beams Due to Moving Loads
393
The system is excited by a uniformly distributed torque τ (t) per unit length
which acts over the outer half of the rod. Give the equations for the torsional
motion in terms of the first two normal coordinates.
Prob. 9.19
References
1. G. L. Rogers, Dynamics of Framed Structures, John Wiley and Sons, Canada, 1959.
2. G. B. Warburton, The Dynamical Behaviour of Structures, Pergamon Press, U. K., 1976.
3. W.T. Thomson, Theory of Vibration with Application, 3rd Edition CBS Publishers and
Distributors, New Delhi, 1988.
4. C. H. Norris, R.J. Hansen, M.J. Holley, J.M. Biggs, S. Namyet and J.K. Minami., Structural
Design for Dynamic Loads, McGraw-Hill, New York, 1959
5. S.P. Timoshenko, D.A. Young and W. Weaver, Jr., Vibration Problems in Engineering, Fourth
Edition, John Wiley & Sons, New York, 1974.
393
The system is excited by a uniformly distributed torque τ (t) per unit length
which acts over the outer half of the rod. Give the equations for the torsional
motion in terms of the first two normal coordinates.
Prob. 9.19
References
1. G. L. Rogers, Dynamics of Framed Structures, John Wiley and Sons, Canada, 1959.
2. G. B. Warburton, The Dynamical Behaviour of Structures, Pergamon Press, U. K., 1976.
3. W.T. Thomson, Theory of Vibration with Application, 3rd Edition CBS Publishers and
Distributors, New Delhi, 1988.
4. C. H. Norris, R.J. Hansen, M.J. Holley, J.M. Biggs, S. Namyet and J.K. Minami., Structural
Design for Dynamic Loads, McGraw-Hill, New York, 1959
5. S.P. Timoshenko, D.A. Young and W. Weaver, Jr., Vibration Problems in Engineering, Fourth
Edition, John Wiley & Sons, New York, 1974.