Structural Dynamic Modeling: Tales of Sin and Redemption

The great twentieth century mathematician, John von Neumann, once said, “At a great distance from its empirical source, or after much abstract inbreeding, a mathematical subject is in danger of degeneration. Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less empirical ideas.” This wisdom is especially applicable to the field of structural dynamics. The present paper takes a look at the historical and empirical bases of key aspects of structural dynamic phenomena including damping of materials and built-up assemblies, behavior of viscoelastic materials, interaction of structures and fluids, and general parametric uncertainties. Migration of misconceptions in engineering practice and, in particular, commercial software products are cited. Illustrative examples of the benefits of recollection of fundamentals in aerospace, marine and civil applications are described.

[1]  Alhad A. Joshi.  CAE Data Management Using Traditional PDM Systems , 2004 .

[2]  J. E. Cooper.  Theoretical and Computational Aeroelasticity , W. P. Rodden, Crest Publishing. 2011. Distributed by The Americas Group, 520 S. Sepulveda Blvd., Suite 204 , Los Angeles, CA 90049-3534, USA (email: hrmg@mac.com). 827pp. Illustrated. £160 . ISBN 978-0-692-01241-3. , 2012 .

[3]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[4]  J. R. Morison,et al.  The Force Exerted by Surface Waves on Piles , 1950 .

[5]  S. Rubin.  Prevention of coupled structure-propulsion instability /POGO/ on the space shuttle , 1970 .

[6]  Leo L. Beranek,et al.  Noise and vibration control , 1971 .

[7]  H. N. Abramson,et al.  The dynamic behavior of liquids in moving containers - Introduction , 1966 .

[8]  S. Rubin.  Improved Component-Mode Representation for Structural Dynamic Analysis , 1975 .

[9]  S. Timoshenko.  History of strength of materials , 1953 .

[10]  R. N. Coppolino.  A numerically efficient finite element hydroelastic analysis , 1976 .

[11]  A. L. Kimball,et al.  Internal Friction in Solids , 1926, Transactions of the American Society of Mechanical Engineers.

[12]  C. Zener.  Elasticity and anelasticity of metals , 1948 .

[13]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[14]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[15]  Nicola Amati,et al.  On the equivalent viscous damping for systems with hysteresis , 2008 .

[16]  R. Macneal.  A hybrid method of component mode synthesis , 1971 .

[17]  H. Norman Abramson,et al.  The Dynamic Behavior of Liquids in Moving Containers. NASA SP-106 , 1966 .

[18]  Paolo Santini,et al.  Damping Effects in Aerospace Structures , 1979 .

[19]  Martin Goland,et al.  Principles of aeroelasticity , 1975 .

[20]  E. E. Ungar,et al.  Structure-borne sound , 1974 .

[21]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[22]  W. A. Benfield,et al.  Vibration Analysis of Structures by Component Mode Substitution , 1971 .

[23]  W. Marsden.  I and J , 2012 .

[24]  T. Caughey,et al.  Classical Normal Modes in Damped Linear Dynamic Systems , 1960 .

[25]  Raymond M. Brach,et al.  Statistical Energy Analysis of Dynamical Systems: Theory and Applications , 1977 .