Influence of geometric discontinuities and geometric/microstructural defects on the temperature-dependent vibration resp
- PDF / 3,586,018 Bytes
- 24 Pages / 595.276 x 790.866 pts Page_size
- 57 Downloads / 195 Views
(2020) 42:536
TECHNICAL PAPER
Influence of geometric discontinuities and geometric/microstructural defects on the temperature‑dependent vibration response of functionally graded plates on elastic foundation Gaurav Bansal1 · Ankit Gupta1 · Varun Katiyar1 Received: 29 April 2020 / Accepted: 4 September 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract In the present article, the vibrational behaviour of a functionally graded plate (FGP) resting on elastic foundations under a thermal environment with geometric discontinuities and microstructural defects (porosity) has been investigated. The structural kinematics is based on the trigonometric shear-strain function with only four unknowns. The transverse shear stress varies nonlinearly along the thickness. The FGP has geometric discontinuities in the form of a circular cut-out of different dimensions at the centre. The various geometric imperfections are modelled using a generic function, whereas the microstructural defects (porosity) have been included using modified power law. The temperature variation between the surfaces is nonlinear along the thickness direction. The FEM-based solutions are presented using C 0 continuous iso-parametric element. Convergence and validation study have been carried out to demonstrate the efficacy and reliability of the presented results. The effect of porosity inclusion, circular cut-out, elastic foundation, thermal environment, geometric imperfection modes and the volume fraction index have been analysed under conventional and unconventional boundary constraints. It is observed that after a specific dimension of circular cut-out, vibrational behaviour of FGPs exhibits nonlinearity in nature. Keywords Displacement field · Geometric discontinuities · Vibration response · Partial supports · Porosity · Geometric imperfection
1 Introduction The functionally graded materials (FGMs) have a compositional gradient from one surface to another. The FGM was originated during an aviation work in Japan in 1984 [1]. The FGM was proposed as a thermal barrier material which can stand against high-temperature gradients [2]. These materials eliminate the stress concentration by having a continuous variation of material properties and are referred to as advance composite materials. Plates with geometric discontinuities such as cut-out are frequently found in several engineering applications such as aeronautics, marine and other manufactured structures for weight reduction, performance optimization or to provide accessibility to other parts of the Technical Editor: Aurelio Araujo. * Ankit Gupta [email protected] 1
School of Engineering, Shiv Nadar University, Gautama Buddha Nagar, Uttar Pradesh 201314, India
structures. The presence of such geometric discontinuities affects stiffness distribution of the structure significantly. Consequently, the mechanical responses such as vibration and structural load-bearing characteristics of the structure will change [3, 4]. Therefore, the characteristic of free vib
Data Loading...
