This investigation focuses on the modal analysis of an axially functionally graded material beam under hygrothermal effect. The material constants of the beam are supposed to be graded smoothly alo...

On modal analysis of axially functionally graded material beam under hygrothermal effect

In the present study, the buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study is made of functionally graded materials in the longitudinal direction and the cross-section of the microcolumn varies continuously throughout the axial direction. The Bernoulli–Euler beam theory in conjunction with modified strain gradient theory are employed to model the structure by considering the size effect. The Rayleigh–Ritz numerical solution method is used to solve the eigenvalue problem for various conditions. The influences of changes in the cross-section and Young’s modulus, size dependency, and non-classical boundary conditions are examined in detail. It is observed that the size effect becomes more pronounced for smaller sizes and differences between the classical and non-classical buckling loads increase by increasing the taper ratios.

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Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method

This paper investigates the vibrational behavior of beams made of functionally graded materials using a mixed formulation. Unlike the other high order shear deformation theories (HSDTs), the propos...

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Static and dynamic stability responses of multilayer functionally graded carbon nanotubes reinforced composite nanoplates via quasi 3D nonlocal strain gradient theory

Functionally graded materials (FGMs) are the advanced form of composite materials. They possess specific properties in unidirection or bidirection according to some mathematical models available in the literature. FGM structures are being explored in various engineering applications such as beam type structures are most commonly used in airplane propeller blades, robot arms, turbine vanes and astronomical erectable bangs etc. Plate type structures are particularly used in defense sector as penetration resilient resources for manufacturing of ammunition - resistant vests and armour plates. Shell type structures are used in manufacturing of load bearing components for aircrafts, ships, buildings and some parts of space launcher transport systems. This paper presents a broad discussion on vibration analysis of different types of structures i.e. beam, plate (circular, annular, rectangular, square, trapezoidal, skew) and shell (cylindrical, conical and spherical), which can be useful in the design of FGM modelling. This review paper is a collection of material based on vibration analysis of different FGM structures (beam, plate and shell) used in various advanced engineering fields. Further, this paper is categorized on the basis of modal behavior of FGM structures under with or without thermal effect.

A review on modal characteristics of FGM structures

This paper investigates modal characteristics of FGM annular plate under hygrothermal effect. The mechanical properties are supposed to have a continuous variation along the thickness of the plate. The power law or sigmoid law functions are used to govern the resultant mechanical properties. The MUMPS eigen solver which is exists in COMSOL Multiphysics® (version 5.2) software is employed to obtain the eigenfrequencies and corresponding mode shapes. The accuracy of the method is validated by comparing the results with the results published work for particular case. Effects of functionally graded index, radius- to-thickness ratio, and temperature and moisture changes on the natural frequencies are discussed in detail. An excessive stress due to drastic moisture and temperature gradients make the engineering structures susceptible to failure. Due to the fact that, continuously identified natural frequencies of vibration under temperature and moisture effect can provide unique information during both initial fabrication and service life of different mechanical structures. Hence, this study can be helpful directly or indirectly in development of highly efficient environmental sensors that are very necessary in a structural health monitoring perspective. It can be observed that the fundamental frequency decreases with increase in functionally graded index and the moisture content rise under the power law model whereas under sigmoid law model the frequencies remain almost constant with increase in functionally graded index.

Investigation on modal behaviour of FGM annular plate under hygrothermal effect

A numerical study on free vibration analysis of axial FGM beam

The vibration analysis of an axially functionally graded material non-prismatic Timoshenko beam under axial thermal variation in humid environment is carried out using the harmonic differential qua...

Rahul Singh

Papers

On modal analysis of axially functionally graded material beam under hygrothermal effect

A review on modal characteristics of FGM structures

Investigation on modal behaviour of FGM annular plate under hygrothermal effect

A numerical study on free vibration analysis of axial FGM beam

Vibration analysis of an axially functionally graded material non-prismatic beam under axial thermal variation in humid environment: