Influences of Temperature Changes and Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates

Sunakawa, Megumi

doi:10.1299/kikai1938.30.558

Cited by 11 publications

(3 citation statements)

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“…The reference temperature T ref ¼ 0 C is assumed in the paper, and the temperature is constant through the thickness of thin plates. Considering the influence of temperature gradient, a steady state thermal loading with non-uniform temperature distribution for a rectangle flat plate is given (Ko, 2003;Sunakawa, 1966;Xue and Mei, 1993)…”

Section: Thermo-acoustic Loadingsmentioning

confidence: 99%

“…Thornton et al (1993) describes a finite element study of thermally bulcked plates induced by spatial temperature gradients, these spatial temperature gradients together with panel imperfections induce outof-plane buckling due to compressive membrane stress. Megumi Sunakawa investigated influences of temperature change on free flexural vibration of rectangular elastic plates, and shown that fundamental modal frequency of plates varys with temperature change (Sunakawa, 1966). Gray and Mei (1991) presnted a finite element formulation for the thermal post-buckling and free vibration of thin, rectangular plates subjected to large temperature variations over the plate.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear random response and fatigue life estimation of curved panels to non-uniform temperature field and acoustic loadings

Zhu

Jie

et al. 2014

Journal of Vibration and Control

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Nonlinear random response and fatigue life estimation of the skin panels of hypersonic flight vehicles at elevated temperatures and high intensity acoustic loadings have become a matter of considerable importance in recent years. Finite element equations are presented for the prediction of nonlinear responses of curved panels under combined thermo-acoustic loadings. Thermal loading with a non-uniform temperature field is considered, and band limited Gaussian white noise is chosen as random acoustic loading. A numerical integration is applied to determine random response. Thermal buckling temperature and thermal buckling deflections are obtained to explain the snap-through phenomenon. The modal frequency of the vibration about the thermally buckled equilibrium position is studied, which shows great difference between the primary and secondary buckled equilibrium position of curved panels. Displacement and stress response obtained show nonlinear characteristics of curved panels under thermo-acoustic loadings. Stress-life (S-N) curves and rainflow counting method are combined by means of damage accumulation theory and mean stress model to predict curved panel fatigue life. The results show that the fatigue life estimation of the curved panel by using the Smith-Watson-Topper model is more conservative.

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Section: Thermo-acoustic Loadingsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear random response and fatigue life estimation of curved panels to non-uniform temperature field and acoustic loadings

Zhu

Jie

et al. 2014

Journal of Vibration and Control

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“…Buckens [2] examined small deflections of rectangular plates under thermal loads and analyzed their buckling. Sunakawa [21] studied the influence of temperature changes on the largeamplitude free vibrations of rectangular plates using successive approximations. He showed that these effects are not negligible.…”

Section: Introductionmentioning

confidence: 99%

Thermally Induced Principal Parametric Resonance in Circular Plates

Nayfeh

Faris

2001

Shock and Vibration

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We consider the problem of large-amplitude vibrations of a simply supported circular flat plate subjected to harmonically varying temperature fields arising from an external heat flux (aeroheating for example). The plate is modeled using the von Karman equations. We used the method of multiple scales to determine an approximate solution for the case in which the frequency of the thermal variations is approximately twice the fundamental natural frequency of the plate; that is, the case of principal parametric resonance. The results show that such thermal loads produce large-amplitude vibrations, with associated multi-valued responses and subcritical instabilities.

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2004

Linear and Nonlinear Structural Mechanics

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Influences of Temperature Changes and Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates

Cited by 11 publications

References 0 publications

Nonlinear random response and fatigue life estimation of curved panels to non-uniform temperature field and acoustic loadings

Nonlinear random response and fatigue life estimation of curved panels to non-uniform temperature field and acoustic loadings

Thermally Induced Principal Parametric Resonance in Circular Plates

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