Nonlinear Random Response of Panels in an Elevated Thermal-Acoustic Environment

Dhainaut, Jean-Michel; Guo, Xinyun; Mei, Chuh; Spottswood, S. Michael; Wolfe, H. F.

doi:10.2514/2.3146

Cited by 40 publications

(23 citation statements)

References 12 publications

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“…It can be stationary or non-stationary and Gaussian or nonGaussian, as long as a time history for the random excitation is available. The cross-spectral density function S p of a truncated white-Gaussian pressure uniformly distributed over the panel surface can be given as [7]:…”

Section: Acoustic Load Simulationmentioning

confidence: 99%

“…Abdel-Motagaly et al [6] utilized the finite element numerical integration to study the nonlinear panel response under combined aerodynamic and acoustic loads. Dhainaut et al [7] presented a finite element formulation for the prediction of nonlinear random response of thin isotropic and composite panels subjected to the simultaneous action of high acoustic loads and elevated temperatures. The temperature-dependence of material properties was not taken into consideration in their formulation.…”

Section: Introductionmentioning

confidence: 99%

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Thermo-acoustic random response of temperature-dependent functionally graded material panels

et al. 2010

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A nonlinear finite element model is provided for the nonlinear random response of functionally graded material panels subject to combined thermal and random acoustic loads. Material properties are assumed to be temperaturedependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations are derived using the first-order shear-deformable plate theory with von Karman geometric nonlinearity and the principle of virtual work. The thermal load is assumed to be steady state constant temperature distribution, and the acoustic excitation is considered to be a stationary white-Gaussian random pressure with zero mean and uniform magnitude over the plate surface. The governing equations are transformed to modal coordinates to reduce the computational efforts. Newton-Raphson iteration method is employed to obtain the dynamic response at each time step of the Newmark implicit scheme for numerical integration. Finally, numerical results are provided to study the effects of volume fraction exponent, temperature rise, and the sound pressure level on the panel response.

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Section: Acoustic Load Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermo-acoustic random response of temperature-dependent functionally graded material panels

et al. 2010

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“…Using Newark integral method in time-domain, equations are integrated in every specified time step to get modal displacement in time series, then converted to displacement of the physical coordinates, as displacement response of thin-walled structure. Accordingly, taking advantage of relation of stress and strain [8], vibration stress response of thin-walled structure under thermo-acoustic loadings is received.…”

Section: Mq T F Q T Q T Q T T P Tmentioning

confidence: 99%

Response Analysis of thin-walled Structure under Non-uniform temperature field and Acoustic Loads

Yu¹,

X²

2015

Proceedings of the 2015 International Conference on Advances in Mechanical Engineering and Industrial Informatics

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Abstract. With the raised performance of advanced aircraft, hypersonic vehicles are subjected to increasingly severe environment. Very severe elevated temperature and high intensity acoustic loads will cause the thin-walled structures of aircraft to respond in a strong nonlinear large deflection vibration, and leading to premature fatigue failure of the structure. According to the Von Karman large deflection theory, the large deflection governing equation of plate under thermo-acoustic loadings is obtained. The Galerkin method is employed to obtain the ordinary differential equation under modal coordinates and the stress expressed by modal displacement for the simply-supported plate and the clamped plate. The critical thermal buckling temperatures and modal frequencies of simply-supported plate and thin-walled cylindrical shell under thermal loads with linear temperature gradient, the dynamic responses of them under thermo-acoustic loads, are obtained using finite element numerical stimulation, The thermal-acoustic responses of simply-supported plate and thinwalled cylindrical shell with different combinations of thermal-acoustic loadings are obtained, including the random vibration in pre-buckled regime, snap-through motion between post-buckled equilibrium positions and nonlinear vibration around one post-buckled position.

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“…C. Mei and J.M. Dhainaut have used FEM to calculate the nonlinear random response of panels and shells bearing thermal-acoustic loads [9,10]. Meanwhile, for nonlinear vibration response and fatigue life problems of aerospace thin-walled structures to thermal-acoustic excitation, NASA Lanley research center and Wright-Patterson air force flight dynamics laboratory (AFFDL) of the U.S finished thermal-acoustic test and analyzed the response characteristics of thin-walled panels by using progressive wave tube [11].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Response Analysis and Experimental Verification of Thin-walled Structures to Thermal-acoustic Excitations

Yu¹,

Wang²

2016

Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

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Abstract. For the nonlinear vibration response problems of aerospace thin-walled structures to thermalacoustic excitation, the theory of structural-acoustic coupling and the coupled FEM/BEM method were used to analyze dynamic response characteristics of super-alloy thin-walled rectangular plates with four edges clamped. Based on different loading ways: diffusion field, progressive wave 0°/ 45°/ 90°, the theories of buckling and snap-through were employed to study the stress/strain response of structures which were subjected to the different thermal-acoustic loading combinations. The majority of the analyses have dealt with the influence of acoustic loading ways and thermal loadings on structure stress/strain responses, the interaction mechanism of phenomenon of buckling and snap-through on stress/strain responses. Meanwhile, the experimental verifications of nature frequencies and strain have been done, respectively. The analysis results will provide a reference to determine a reasonable fatigue life prediction model.

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Nonlinear Random Response of Panels in an Elevated Thermal-Acoustic Environment

Cited by 40 publications

References 12 publications

Thermo-acoustic random response of temperature-dependent functionally graded material panels

Thermo-acoustic random response of temperature-dependent functionally graded material panels

Response Analysis of thin-walled Structure under Non-uniform temperature field and Acoustic Loads

Nonlinear Vibration Response Analysis and Experimental Verification of Thin-walled Structures to Thermal-acoustic Excitations

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