Technical Papers
Oct 18, 2013

Optimum Design of Intermediate Support for Raising Fundamental Frequency of a Beam or Column under Compressive Axial Load

Publication: Journal of Engineering Mechanics
Volume 140, Issue 7

Abstract

The optimum design of an additional intermediate support is investigated for raising the fundamental natural frequency of a beam or column subjected to compressive axial loadings. First, the criterion that constitutes the general characteristic equation of the optimal attachment position is explicitly provided so that an objective value of the fundamental frequency can be achieved with the minimum restraint stiffness of the intermediate support. Then, the optimum design of an intermediate support is performed for three illustrative beams of different classical boundary conditions to demonstrate the effects of the compressive axial loads. Numerical results show that the axial load can remarkably influence the support design of its optimum position and minimum stiffness when using it to increase the beam fundamental frequency.

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References

Bergman, L. A., and Hyatt, J. E. (1989). “Green functions for transversely vibrating uniform Euler-Bernoulli beams subject to constant axial preload.” J. Sound Vib., 134(1), 175–180.
Bokaian, A. (1988). “Natural frequencies of beams under compressive axial loads.” J. Sound Vib., 126(1), 49–65.
Bokaian, A. (1990). “Natural frequencies of beams under tensile axial loads.” J. Sound Vib., 142(3), 481–498.
Grossi, R. O., and Quintana, M. V. (2008). “The transition conditions in the dynamics of elastically restrained beams.” J. Sound Vib., 316(1–5), 274–297.
Hassanpour, P. A., Esmailzadeh, E., Cleghorn, W. L., and Mills, W. L. (2010). “Generalized orthogonality condition for beams with intermediate lumped masses subjected to axial force.” J. Vib. Control, 16(5), 665–683.
Imam, M. H., and Al-Shihri, M. (1996). “Optimum topology of structural supports.” Comput. Struct., 61(1), 147–154.
Jang, G. W., Shim, H. S., and Kim, Y. Y. (2009). “Optimization of support locations of beam and plate structures under self-weight by using a sprung structure model.” J. Mech. Design, 131(2), 021005.
Liu, Z. S., Hu, H. C., and Huang, C. (2000). “Derivative of buckling load with respect to support locations.” J. Eng. Mech., 559–564.
Naguleswaran, S. (2004). “Transverse vibration of an uniform Euler–Bernoulli beam under linearly varying axial force.” J. Sound Vib., 275(1–2), 47–57.
Neuringer, J., and Elishakoff, I. (1998). “Interesting instructional problems in column buckling for the strength of materials and mechanics of solids courses.” Int. J. Eng. Educ., 14(3), 204–216.
Olhoff, N., and Akesson, B. (1991). “Minimum stiffness of optimally located supports for maximum value of column buckling loads.” Struct. Optim., 3(3), 163–175.
Stephen, N. G. (1989). “Beam vibration under compressive axial load upper and lower bound approximation.” J. Sound Vib., 131(2), 345–350.
Wang, C. M., and Nazmul, I. M. (2003). “Buckling of columns with intermediate elastic restraint.” J. Eng. Mech., 241–244.
Wang, C. Y. (2003). “Minimum stiffness of an internal elastic support to maximize the fundamental frequency of a vibrating beam.” J. Sound Vib., 259(1), 229–232.
Wang, D. (2004). “Optimization of support positions to minimize the maximal deflection of structures.” Int. J. Solids Struct., 41(26), 7445–7458.
Wang, D., Friswell, M. I., and Lei, Y. (2006). “Maximizing the natural frequency of a beam with an intermediate elastic support.” J. Sound Vib., 291(3–5), 1229–1238.
Xing, J. Z., and Wang, Y. G. (2013). “Free vibrations of a beam with elastic end restraints subject to a constant axial load.” Arch. Appl. Mech., 83(2), 241–252.
Yoo, C. H., and Lee, S. C. (2011). Stability of structures: Principles and applications, Elsevier, Oxford, U.K.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 7July 2014

History

Received: Jul 1, 2013
Accepted: Oct 16, 2013
Published online: Oct 18, 2013
Published in print: Jul 1, 2014
Discussion open until: Jul 4, 2014

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Professor, Dept. of Aeronautical Structural Engineering, Northwestern Polytechnical Univ., P.O. Box 118, Xi’an, Shaanxi 710072, P.R. China; Adjunct Professor, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong Univ., Xi’an, Shaanxi 710049, P.R. China E-mail: [email protected]

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