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Dynamic characteristics of rotating pretwisted clamped-clamped beam under thermal stress

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Abstract

Effects of thermal stress on the vibration characteristics, buckling limit and critical speed of a rotating pretwisted beam clamped to rigid hub at a stagger angle were investigated. By considering the work done by thermal stress, the thermal influence on stiffness matrix was introduced in the dynamic model. The motion equations were derived based on Lagrange equation by employing three pure Cartesian deformation variables combined with nonlinear von Karman strain formula. Numerical investigations studied the modal characteristics of the beam. Numerical results calculated from a commercial finite element code and obtained with the present modeling method were in good agreement with the previous results reported in the literature. The combined softening effects due to the thermal stress and the rotation motion were observed. Furthermore, it is shown that the inclusion of thermal stress is necessary for blades operating under a high temperature field. Buckling thermal loads and the critical rotating speed were calculated through solving the corresponding nonlinear equations numerically, and some pertinent conclusions are outlined. It is also found that the peak value position of the first mode shape approaches to the tip of blade with the increment of rotating speed and hub radius. However, the variation in the environment temperature causes only a slight alteration in the mode shape.

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, School of Aerospace, Xi’an Jiaotong University, Xi’an, China

    Bo Zhang & Yueming Li

  2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China

    Wei-Zhen Lu

Authors
  1. Bo Zhang
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  2. Yueming Li
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  3. Wei-Zhen Lu
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Correspondence to Yueming Li.

Additional information

Recommended by Editor Yeon June Kang

Bo Zhang received his B.S. in Engineering Mechanics from Xi’an Jiao Tong University in 2011. He is a Ph.D. candidate at State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University. His research interests include rotor dynamics and nonlinear vibrations of structures.

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Zhang, B., Li, Y. & Lu, WZ. Dynamic characteristics of rotating pretwisted clamped-clamped beam under thermal stress. J Mech Sci Technol 30, 4031–4042 (2016). https://doi.org/10.1007/s12206-016-0816-z

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  • DOI: https://doi.org/10.1007/s12206-016-0816-z

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