Dynamic analysis of large structures with uncertain parameters based on coupling component mode synthesis and perturbation method

Sarsri, Driss; Azrar, L.

doi:10.1016/j.asej.2015.03.005

Cited by 15 publications

(6 citation statements)

References 17 publications

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“…The modeling of the resonator silencer utilizing the quarterwavelength tube and the Helmholtz resonator was done and implemented in MATLAB® using a Hermitian beam element as a planar (2-D) frame element including the axial and bending deformation, as shown in Eqs. (7) and (8). These equations represent the mass and the stiffness matrix configuration that is implemented in the routine.…”

Section: Methodsmentioning

confidence: 99%

“…They also diverge in terms of the assembling procedures, by elimination or by transformation. 8 Free interface 9 and hybrid interface CMS 10 were proposed with various boundary conditions at the interface and many insights, variants and improvements have been proposed. 11,12 Recently, the eigenvalue error estimating method and the iterations method for controlling accuracy of frequency and mode shape were proposed to ensure the quantitative accuracy of CMS.…”

Section: Introductionmentioning

confidence: 99%

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Component Mode Synthesis Method Applied to Acoustic Resonators in Ducts for Structural Vibration Analysis

Ordoñez¹,

Nunes²

2020

The International Journal of Acoustics and Vibration

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Tubular structural systems appear in many industrial applications, such as heating, ventilation, and air conditioning systems, which are responsible for making any enclosed environment remain within a temperature, humidity, and cleanliness range. This kind of system has its applications in the internal environmental comfort of industrial spaces, buildings, and vehicles. Several of these spaces have industrial processes that generate high sound frequencies and mechanical vibrations that need to be adequately controlled to meet both environmental and health norms. With the intention to analyze the structural vibration of tubular systems, the modal analysis technique is a classical methodology for the extraction of natural frequencies and vibration modes. Among the various techniques of modal analysis, numerical methodologies such as the finite element method, and also analytical methodologies such as the Component Mode Synthesis (CMS) can be found. CMS is one of the leading modeling tools for complex systems that are applied to large systems. The method uses a modal superset and consists of separately modeling individual components of a structure and coupling them into a single system. The objective of this work is to demonstrate the application of the CMS technique through the estimation of natural frequencies and vibration modes in a simplified tubular structural system formed by two substructures, using MATLAB and ANSYS. The validation of the results was done through numerical modeling using the finite element method using and ANSYS software. The results obtained were satisfactory, thus demonstrating the feasibility of applying the CMS technique to an analysis of structural vibration in tubular structural systems.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Component Mode Synthesis Method Applied to Acoustic Resonators in Ducts for Structural Vibration Analysis

Ordoñez¹,

Nunes²

2020

The International Journal of Acoustics and Vibration

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“…For example, Hamon et al 9 conducted a sampling-based probabilistic security evaluation (PSE) of a high-power wind system. Sarsria and Azrar 10 studied the dynamic response of large structures under the influence of uncertainty factors with the perturbation method. Sepahvand et al 11 proposed to use polynomial chaos expansion (PCE) to quantitatively analyze the uncertainties of stochastic systems.…”

Section: Introductionmentioning

confidence: 99%

A quantile-based method to efficiently determine model response at boundary probabilities

Lai

Liu

et al. 2020

Advances in Mechanical Engineering

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Quantiles are values of a function associated with specific probabilities. Two very specific quantiles, that is, ±3, are usually used for estimating probabilistic distribution of the function. Aiming at the engineering complex implicit function, the article provides an algorithm for calculating these values efficiently and rapidly. First, build kriging model with initial high-efficiency samples and the model is taken as the approximate initial analytical expression of the original function. Then, seek for the approximate most probable point with kriging model and performance measure approach. The most probable points found every time and their corresponding function responses are taken as new samples to reconstruct the built kriging model. After several times of reconstructing kriging model, the convergence value for the corresponding quantile can be obtained. Finally, the illustrative cases in this article demonstrate that the quantile-based method can provide accurate results with high efficiency and in this way, the quantile convergence value can be obtained by a few samples.

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“…In another work, D Sarsri and L Azrar 23 used the CMS method coupled with the perturbation method to calculate the stochastic modes of large finite element models with uncertain parameters for the linear problems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibrations of large structures with uncertain parameters

Lamrhari

Sarsri

Azrar

et al. 2017

Advances in Mechanical Engineering

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The effects of uncertainties on the nonlinear dynamics of complex structures remain poorly mastered and most methods deal with the linear case. This article deals with a model of a large and complex structure with uncertain parameters for the nonlinear dynamic case, and the reduction in the model discretized by the finite element method is obtained by reducing the degrees of freedom in the numerical model. This is achieved by the development of the unknown displacement vector on the basis of the eigenmodes; a particular attention is paid to the calculation of the nonlinear stiffness coefficients of the model. The method combines the stochastic finite element methods with a modal reduction class based on sub-structuring the component mode synthesis method. The reference method is the Monte Carlo simulation which consists in making several simulations for different values of the uncertain parameters. The simulation of complex and nonlinear structures is costly in terms of memory and computation time. To solve this problem, the perturbation method combined with the component mode synthesis reduction method significantly reduces the computational cost by preserving the physical content of the original structure. The numerical integration by the Newmark schema is used; the first statistical moments (mean and variance) of the nonlinear dynamic response are computed. Numerical simulations illustrate the accuracy and effectiveness of the proposed methodology.

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Dynamic analysis of large structures with uncertain parameters based on coupling component mode synthesis and perturbation method

Cited by 15 publications

References 17 publications

Component Mode Synthesis Method Applied to Acoustic Resonators in Ducts for Structural Vibration Analysis

Component Mode Synthesis Method Applied to Acoustic Resonators in Ducts for Structural Vibration Analysis

A quantile-based method to efficiently determine model response at boundary probabilities

Nonlinear vibrations of large structures with uncertain parameters

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