Natural frequencies of composite plates with random material properties using higher-order shear deformation theory

Singh, B.N.; Yadav, D.; Iyengar, N.G.R.

doi:10.1016/s0020-7403(01)00046-7

Cited by 95 publications

(47 citation statements)

References 16 publications

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“…Shankara and Iyengar [12] used a higher order shear deformation theory to formulate elements with 5 DOFs and 7 DOFs per node to study the free vibration of plates. Later, Singh et al [13] added the complexity of random material properties to the free vibration analysis of composite plates.…”

Section: Introductionmentioning

confidence: 99%

Stochastic finite element analysis of the free vibration of laminated composite plates

et al. 2007

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Using the Stochastic Finite Element Method (SFEM) to perform reliability analysis of the free vibration of composite plates with material and fabrication uncertainties has received much attention lately. In this work the stochastic analysis is performed using the First Order Reliability Method (FORM-method 2) and the Second Order Reliability Method (SORM). The basic random variables include laminae stiffness properties and material density, as well as the randomness in ply orientation angles. Modeling of the composite behavior utilizes a nine-noded isoparametric Lagrangian element based on the third order shear deformation theory. The developed code utilizes MATLAB capabilities to derive the derivatives of the reduced stiffness and mass matrices symbolically with a considerable reduction in calculation time. Calculating the eigenvectors at the mean values of the variables proves to be a reasonable simplification which significantly increases solution speed. The stochastic finite element code is validated using available data in the literature, in addition to comparisons with results of the well-established Monte Carlo simulation technique with importance sampling. Results show that SORM is an excellent rapid tool in the stochastic analysis of free vibration of composite plates, when compared to the slower Monte Carlo simulation techniques.

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Section: Introductionmentioning

confidence: 99%

Stochastic finite element analysis of the free vibration of laminated composite plates

et al. 2007

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“…al 2000 develops a theoretical models and carried out an extensive experimental investigation to establish changes in the first three bending natural frequencies due to de-laminations by the means of Vibration-Monitoring techniques as NonDestructive methods for detection of De-Laminations in layered composite plate or Beam. [14] Jaehong [15] presents free vibration analysis of a laminated beam with de-laminations using a layer wise theory Numerical results are compared with other theories addressing the effects of the lamination angle, location, size and number of delamination on vibration frequencies of delaminated beams. It has also revealed that a layer wise approach is adequate for vibration analysis of delaminated composites.…”

Section: Literature Surveymentioning

confidence: 99%

Free and forced vibration of a laminate structure with different material configuration & angle orientation by using finite element analysis Free and forced vibration of a laminate structure with different material configuration & angle orientation by using finite element analysis

Landge¹

2017

IJRASET

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I. INTRODUCTION A. What is a composite Material?A broad definition of composite is: Two or more chemically distinct materials that when combined has improved properties over individual materials. The composites may be either natural or synthetic. B. ApplicationThe glass-reinforced polyester has all the properties that make it ideal for this purpose and has become the standard material. Laminated plywood panels with thin layer of reinforced plastic are also widely used in truck trolleys. Various methods are used to produce them and the low cost, and the strength offered by the plywood that is attractive. They may not be as light as desired, but are found to be considerably more durable than conventional constructions, particularly under heavy duty conditions. There is also a growing market for products such as vans and trailers that are made from glass-reinforced plastic at competitive prices. Vehicles destined for consumer markets tend to be attractively designed, their appearance is different and the tools are easy. Mold reinforced plastic of the full size model of the piece are taken. The pattern can be made of wood, clay or plaster. The automotive sheet body is molded into molding molds paired with glass fiber or wick as reinforcements. Large and complex pieces can be produced and their reproduction can be made equally fast. Parts made using this technique generally have a uniform thickness, because the additional reinforcing fibers cannot be loaded easily or accurately. Composite molding materials are used when small rigid parts have to be made and are usually prepared by casting. The bulk molding compound is composed of polyester resin, glass fibers and filler. The strength is less than that obtained by other molding processes. The molding compounds may be prepared as continuous sheets. Due to the longer fibers and a high glass content, its strength is better than those made in the bulk molding method. Injection molding are used to some extent to produce materials that can be applied to structural materials. After the separate manufacture of parts by molding or other methods, the assembly of the vehicle body has to be made. Tools and accessories similar to those used in metal parts are used for drilling and drilling operations. The assembly of several parts is usually accomplished by adhesion, using resins that are catalyzed to cure at room temperature in a short time. A good bonding strength is achieved even without pressure, although fastening devices are required to locate the assembled parts correctly in relation to each other. High-build primers are used to give a high-gloss finish so that surface imperfections do not become obvious. Commercial aircraft applications are the most important uses of the compounds. Aircraft, unlike other vehicles, need to place greater emphasis on safety and weight. They are achieved using

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“…The assumption of constant failure rate about the electronic elements facilitates the regular lifetime tests or the accelerated lifetime tests. However, for mechanical components, time-dependent random vibration load, random impact load, and randomness in the material parameters caused by manufacturing are always encountered in practice [13][14][15]. Moreover, the time-dependent stochastic load process and the corresponding time-dependent degradation process of the material parameters are mutually statistical correlative.…”

Section: Randomness and Dependence Of Fatigue Lifetime Distributions mentioning

confidence: 99%

Reliability-Based Analytic Models for Fatigue Lifetime Distribution Estimation of Series Mechanical Systems under Random Load considering Strength Degradation Path Dependence

Gao

Xie

2017

Mathematical Problems in Engineering

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Time-dependent statistical characteristics of load process and strength degradation process are critical to lifetime distribution of series mechanical systems. Conventional rain-flow counting method for lifetime distribution estimation has limited practical application due to its strict requirement for statistical properties of load process. Besides, dynamic interaction between load process and strength degradation process results in strength degradation path dependence (SDPD). SDPD and failure dependence of components jointly bring considerable difficulties in prediction of system lifetime distribution and system residual lifetime distribution. To address these problems, reliability-based analytic models for estimation of whole lifetime distribution and residual lifetime distribution of series mechanical systems under random load are developed in this paper, which take the time-dependent statistical parameters of load process and strength degradation process as the input of the models. Furthermore, SDPD and failure dependence of components are taken into account in the proposed models in an explicit mathematical expression. The results show that SDPD, failure dependence of components, and initial strength dispersion have significant influences on system lifetime distribution.

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Natural frequencies of composite plates with random material properties using higher-order shear deformation theory

Cited by 95 publications

References 16 publications

Stochastic finite element analysis of the free vibration of laminated composite plates

Stochastic finite element analysis of the free vibration of laminated composite plates

Free and forced vibration of a laminate structure with different material configuration & angle orientation by using finite element analysis Free and forced vibration of a laminate structure with different material configuration & angle orientation by using finite element analysis

Reliability-Based Analytic Models for Fatigue Lifetime Distribution Estimation of Series Mechanical Systems under Random Load considering Strength Degradation Path Dependence

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