13.7 Spline Finite Strip Method of Analysis of Plate Vibration
513
Prob. 13.1
Prob. 13.2
13.3 Write a computer program for free vibration analysis of plates using semianalytic finite difference method.
13.4 Write a computer program for steady-state vibration analysis of plates in
harmonic excitation, using semi-analytical finite difference method.
13.5 Derive the equations related to the forced vibration analysis of plates by
the semi-analytic finite difference method, when the forcing function is not
harmonic.
References
1. P.C. Wang, Numerical Methods in Structural Mechanics, John Wiley & Sons, 1980.
2. F. Schied, Numerical Analysis, Schaum Series, McGraw-Hill, 1968.
3. E.V. Krishnamoorthy and S.K. Sen, Computer Based Numerical Algorithms, 2nd Edition,
Affiliated East-West Press, 1998.
4. R. Ali, Finite difference methods in vibration analysis, Shock and Vibration Digest, V.15, No.
1, 1983, pp 3–7.
5. F.B. Hilderbrand, Introduction to Numerical Analysis, McGraw-Hill, 1976.
6. M.G. Salvadori and M.L. Baron, Numerical Methods in Engineering, Prentice-Hall, New
Jersey, 1952.
7. M. Mukhopadhyay, A semianalytic solution for free vibration of rectangular plates, Journal of
Sound and Vibration, V.60, 1978, pp. 71–85.
8. M. Mukhopadhyay, Free vibration of rectangular plates with edges having different degrees of
rotational restraint, Journal of Sound and Vibration, V.73, 1979, pp. 459–458.
513
Prob. 13.1
Prob. 13.2
13.3 Write a computer program for free vibration analysis of plates using semianalytic finite difference method.
13.4 Write a computer program for steady-state vibration analysis of plates in
harmonic excitation, using semi-analytical finite difference method.
13.5 Derive the equations related to the forced vibration analysis of plates by
the semi-analytic finite difference method, when the forcing function is not
harmonic.
References
1. P.C. Wang, Numerical Methods in Structural Mechanics, John Wiley & Sons, 1980.
2. F. Schied, Numerical Analysis, Schaum Series, McGraw-Hill, 1968.
3. E.V. Krishnamoorthy and S.K. Sen, Computer Based Numerical Algorithms, 2nd Edition,
Affiliated East-West Press, 1998.
4. R. Ali, Finite difference methods in vibration analysis, Shock and Vibration Digest, V.15, No.
1, 1983, pp 3–7.
5. F.B. Hilderbrand, Introduction to Numerical Analysis, McGraw-Hill, 1976.
6. M.G. Salvadori and M.L. Baron, Numerical Methods in Engineering, Prentice-Hall, New
Jersey, 1952.
7. M. Mukhopadhyay, A semianalytic solution for free vibration of rectangular plates, Journal of
Sound and Vibration, V.60, 1978, pp. 71–85.
8. M. Mukhopadhyay, Free vibration of rectangular plates with edges having different degrees of
rotational restraint, Journal of Sound and Vibration, V.73, 1979, pp. 459–458.