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Design for a specified natural frequency of elastically constrained axially graded bars

Design for a specified natural frequency of elastically constrained axially graded bars
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摘要 This study derives some closed-form analytic as well as numeric solutions for the axially graded elasticallyconstrained bar with polynomial varying modulus of elasticity, along the axial coordinate. The solutions allow for vibration tailoring in such a manner that the bar possesses the pre-selected natural frequency. This study derives some closed-form analytic as well as numeric solutions for the axially graded elasticallyconstrained bar with polynomial varying modulus of elasticity, along the axial coordinate. The solutions allow for vibration tailoring in such a manner that the bar possesses the pre-selected natural frequency.
作者 Isaac Elishakoff Jason Yost
机构地区 Department of Mechanical Engineering
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第2期313-316,共4页 力学学报（英文版）
关键词 Graded bars VIBRATION Natural frequency Graded bars · Vibration · Natural frequency
分类号 O343 [理学—固体力学]
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参考文献11

  • 1Rao, S.S.: Mechanical Vibrations. Addison-Wesley, Reading (1995).
  • 2de Silva, C.W.: Vibration: Fundamentals and Practice. CRC Press, Boca Raton (2000).
  • 3Li, Q.S., Li, G.Q., Liu, D.K.: Exact solutions for longitudinal vibrations of rods coupled with translational springs. Int. J. Mech. Sci. 42(6), 1135-1152 (2000).
  • 4Li, Q.S., Wu, J.R., Xu, J.Y.: Longitudinal vibration of multi-step non-uniform structures with lumped masses and spring sup- port. Appl. Acoust. 63, 333-350 (2002).
  • 5Li, Q.S.i Exact solutions for free longitudinal vibrations of non- uniform rods. J. Sound Vib. 234(1), 1-19 (2002).
  • 6Li, Q.S.: Exact solutions for longitudinal vibration of multi-step bars with varying cross-section. J. Vib. Acoust. 122, 183-187 (2002).
  • 7Li, Q.S.: Exact solutions for free longitudinal vibration ot bars with non-uniform cross-section. J. Appl. Mech. Eng. 5(3), 521-541 (2002).
  • 8Conway, H.D., Becker, E.C.H., Dubil, J.F.: Vibration frequencies of tapered bars and circular plates. J. Appl. Mech. 31, 329-331 (1964).
  • 9Candan, S., Elishakoff, I.: Constructing the axial stiffness of longi- tudinally vibrating rod from fundamental mode shape. Int. J. Solids Struct. 38, 3443-3452 (2001).
  • 10Elishakoff, I.: Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions. CRC Press, Boca Raton (2005).
Acta Mechanica Sinica
2010年 第2期

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