Finite Element Study of Plate Buckling Induced by Spatial Temperature Gradients

Numerical studies on the vibration and acoustic characteristics of a simply supported double-panel partition under the thermal environment are presented by the modal superposition approach and temperature field theory. Many factors are considered in this theoretical research, including acoustic refraction, dynamic response of the panel under thermal and acoustic load, vibroacoustic coupling characteristic analysis, and the variation of material properties. To access the accuracy and feasibility of the theoretical model, a finite element method is proposed to calculate the natural frequencies and mode shapes. The results show that the vibration and acoustic responses change obviously with the change of thermal stress and material properties. The rise of the graded thermal environment and thermal load decreases the natural frequencies and moves response peaks to the low-frequency range. The first valley of sound transmission loss is well consistent with the mode frequency. Finally, the relation between the average sound insulation and the thickness ratio is analyzed.

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“…Substituting equations (30)-(33) into equations (17) and (18) by using the virtual work principle, the equations can be simplified into [27]…”

Section: Coupling Eory For Simply Supported Double-panel Partition Unmentioning

confidence: 99%

“…ornton et al [18] used the FEM to analyze the thermal buckling characteristics of thin plates induced by steady and unsteady spatial temperature gradients. Ganesan and Dhotarad [19] presented a study of vibration analysis of a thermally stressed plate.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Vibration and Acoustic Characteristics of a Simply Supported Double-Panel Partition under Thermal Environment

Guo

Liu

2020

Shock and Vibration

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“…The membrane forces per unit length for a thin plate can be written in matrix form as (Thornton, et a!., 1993) where…”

Section: Theoretical Aspectsmentioning

confidence: 99%

Buckling based laser forming process: Concave or convex

Li¹,

Yao²

2000

International Congress on Applications of Lasers &Amp; Electro-Optics

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Concave laser forming can be readily achieved, while convex forming may occur through buckling but the buckling direction heavily depends on the sheet surface and pre-strain condition. A new laser-scanning scheme is postulated, by which convex forming can be effected insensitive to the above mentioned initial conditions. The postulate is successfully validated by experimental and numerical results. The eifect-ef the scanning parameters on the certainty of the convex forming are further investigated experimentally and numerically. The simulation results are in agreement with experimental observations. The numerical simulation model developed is also used to study the transient temperature, stress, and strain-state and provide further insight to the convex forming process.

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“…High temperature structural panels are usually connected with the cooler substructures that are regarded as heat sinks because of less temperature, even with uniform external heating, panels experience spatial temperature gradients because supporting substructures tend to act as heat sinks. Thus typical structural panels experience more elevated temperatures at their centers than along supported edges (temperature gradient) (Thornton et al, 1993;Ko and Leslie, 2001). 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.…”

Section: Introductionmentioning

confidence: 99%

“…Thus typical structural panels experience more elevated temperatures at their centers than along supported edges (temperature gradient) (Thornton et al, 1993;Ko and Leslie, 2001). 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).…”

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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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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Finite Element Study of Plate Buckling Induced by Spatial Temperature Gradients

Cited by 8 publications

References 20 publications

Analysis of Vibration and Acoustic Characteristics of a Simply Supported Double-Panel Partition under Thermal Environment

Analysis of Vibration and Acoustic Characteristics of a Simply Supported Double-Panel Partition under Thermal Environment

Buckling based laser forming process: Concave or convex

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

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