Static and free vibration analysis of functionally graded rectangular plates using ANSYS

Sampathkumar, Deepak; Shetty, Rajesh

doi:10.1016/j.matpr.2020.12.761

Cited by 5 publications

(7 citation statements)

References 5 publications

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“…Using the linearity of Equation ( 15) with respect to the functions w, θ, θ 1 , and w 1 , substituting expansions ( 12) and ( 16) into relation (15), and sequentially choosing the basic functions w 1 = ϕ n , θ 1 = γ n , n = 1 . .…”

Section: Scheme For Solving Inverse Problems Of Ps Identificationmentioning

confidence: 99%

“…. N as possible functions, a system of 2N linear equations with respect to the coefficient functions a i (κ) and b i (κ) can be obtained from Equation (15). Having determined the coefficients a i (κ), b i (κ) in the form of expressions with respect to C j and κ, they are substituted into the expansion (12).…”

Section: Scheme For Solving Inverse Problems Of Ps Identificationmentioning

confidence: 99%

“…As for the modeling of inhomogeneous plates, in particular, functional-gradient (FG) plates, their study is also presented in modern papers, for example, [13][14][15][16]. The papers [13,14] are quite extensive studies of methods for measuring the properties of FGM based on the study of free vibrations and dynamic stability of FG plates.…”

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

“…Various types of mixtures of initial materials, from which FG plates are made, and the influence of their distribution over the volume of the body on the dynamic characteristics are considered. In [15,16], the modeling of FG vibrations in finite element packages, in particular, ANSYS, is presented. The study of the influence of the laws of change in the properties of plates on their dynamic characteristics, i.e., deflection and amplitude-frequency characteristics is carried out.…”

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

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Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Bogachev

2021

Applied Sciences

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Determination of prestress fields in structures is of the utmost importance, since they have a significant impact on operational characteristics, and their level and distribution must be strictly controlled. In this paper, we present modeling of bending vibrations of solid and annular round inhomogeneous prestressed plates within the framework of the Timoshenko hypotheses. New inverse problems of prestress identification in plates are studied on the basis of the acoustic response subjected to some probing load. To solve direct problems on calculating oscillations and amplitude-frequency characteristics, a computational Galerkin-method-based scheme has been developed. In order to treat the inverse problems, we use a special projection approach based on the constructed weak problems statements, which makes it possible to determine the desired characteristics in the given classes of functions. The developed techniques for solving direct problems are implemented in the form of software packages realized via Maple. For both solid and annular plates, we estimate the sensitivity of the amplitude-frequency characteristics the values of which are used as the additional data in the inverse problems to a change in the prestress level; we conclude that the most favorable frequency range should be selected in the resonance vicinity. We have conducted a series of computational tests on reconstructing the plate’s prestresses of various levels and distribution patterns (decreasing, increasing, sign-changing laws). The results of computational tests revealed that the technique developed allows for the determination of the prestresses with a low error for two cases: when the cause of prestress formation and its type are known and when arbitrary prestress changing laws are considered.

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Section: Scheme For Solving Inverse Problems Of Ps Identificationmentioning

confidence: 99%

Section: Scheme For Solving Inverse Problems Of Ps Identificationmentioning

confidence: 99%

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

See 2 more Smart Citations

Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Bogachev

2021

Applied Sciences

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“…In this paper we have design various types of cross-sections like as C channel, I channel, rectangular section, on SOLIDWORKS [3]. After the selection of cross-section analysis part is done on ANSYS [4]. Steel, Aluminium, MMC, and carbon-based polymers are among the materials studied.…”

Section: Introductionmentioning

confidence: 99%

Weight Optimization of Chassis of an Automotive Vehicle using ANSYS

Mishra¹,

Mittal²,

Singh³

et al. 2022

IJMMST

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The objective of this paper is to find out the most favourable material and immensely fitted cross-section for TATA 11O9 TRUCK ladder chassis. This research aims to optimize the weight of the chassis. For this we have taken three materials like structural steel, carbon fiber and Aluminium silicon carbide metal matrix composite. The automotive chassis is the vehicle's base, providing strength and support to the numerous body sections such as suspension, engine, power train, and so on. Recent advancements in the realm of automobiles have expanded rapidly, particularly in the current context. Problem faced by modern days vehicle is the heavy weight. So here we try to decrease the weight of chassis frame by using various method and increase the strength, efficiency of chassis. Reducing the weight of chassis results in increase in performance of vehicle, reduce fuel consumption, less wear and tear of tire. The designing of the chassis is done on software SOLIDWORKS and further analysis is done on ANSYS19.2. The current chassis mass with traditional material is 1560 Kg which is made up of structural steel, whereas the chassis mass with Aluminium carbide metal matrix composite material is 523.45 Kg. According to the analysis, the chassis mass has been reduced by 66.44%, which would eventually hinder the vehicle's performance.

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Finite Element Analysis of Isotropic & Functionally Graded Plate

Singha¹,

Tiwari²

2022

Advances in Sustainability Science and Technology

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Static and free vibration analysis of functionally graded rectangular plates using ANSYS

Cited by 5 publications

References 5 publications

Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Weight Optimization of Chassis of an Automotive Vehicle using ANSYS

Finite Element Analysis of Isotropic & Functionally Graded Plate

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