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Journal ArticleDOI

Nonlinear Panel Response from a Turbulent Boundary Layer

Rimas Vaicaitis, +2 more
- 01 Jul 1972 - 
- Vol. 10, Iss: 7, pp 895-899
TLDR
In this article, the vibration of a flexible elastic plate is investigated by a Monte Carlo technique and the response analysis is performed in time domain by numerically simulating the resulting generalized forces.
Abstract
The vibration of a flexible elastic plate is investigated by a Monte Carlo technique. The response analysis is performed in time domain by numerically simulating the resulting generalized forces. The nonlinear plate deflection and mutual interaction between the plate motion and external and/or internal airflow is included. The fluid perturbations due to the structural motion are described by linear aerodynamic theory. The boundary-layer pressure field is idealized as a homogeneous multidimensional Gaussian random process with mean zero. The plate differential equations of motion and boundary conditions are satisfied in a Galerkin sense by developing a modal solution. Illustrative examples are presented for subsonic and supersonic flow regions using shallow cavity and two plate mode approximations.

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Citations
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Journal ArticleDOI

Digital simulation of random processes and its applications

TL;DR: In this article, the authors presented an efficient method for digital simulation of general homogeneous processes as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles.
Journal ArticleDOI

Neumann Expansion for Stochastic Finite Element Analysis

TL;DR: In this paper, the problem of structural response variability resulting from the spatial variability of material properties of structures, when they are subjected to static loads of a deterministic nature, is dealt with with the aid of the finite element method.
Journal ArticleDOI

ARMA Representation of Random Processes

TL;DR: In this paper, a two-stage least squares method is used to generate sample functions of infinite length and with such a speed and computational mode that even real-time generations of the sample functions can be easily achieved.
Journal ArticleDOI

Structural Response Variability III

TL;DR: In this paper, the spectral density function of the stochastic field takes a limiting shape, and the upper and lower bounds on the response variability are derived for statically determinate structures.
Journal ArticleDOI

Monte Carlo Solution of Nonlinear Vibrations

TL;DR: In this article, a Monte Carlo technique is presented which can effectively be used for nonlinear response analysis of a structure subjected to a random pressure field undergoing large deflections, where the pressure field is idealized as a multidimensional Gaussian process with mean zero and homogeneous both in time and space.
References
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Journal ArticleDOI

Digital simulation of random processes and its applications

TL;DR: In this article, the authors presented an efficient method for digital simulation of general homogeneous processes as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles.
Journal ArticleDOI

Simulation of Multivariate and Multidimensional Random Processes

TL;DR: In this article, the authors present efficient and practical methods of simulating multivariate and multidimensional processes with specified cross-spectral density matrix, which can be expressed as the sum of cosine functions with random frequencies and random phase angles.
Journal ArticleDOI

Panel flutter - A review of the aeroelastic stability of plates and shells

TL;DR: In this article, panel flutter theory applied to aeroelastic stability of flat unloaded plates and cylindrical shells is applied to the stability of aero-elastic vehicles.
Journal ArticleDOI

Wall-pressure fluctuations associated with subsonic turbulent boundary layer flow

TL;DR: In this article, the authors investigated the statistical properties of the fluctuating wall-pressure field associated with a subsonic turbulent equilibrium boundary layer, developed on a smooth wind tunnel wall after natural transition from laminar to turbulent flow.
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