Free vibration analysis of bidirectional-functionally graded and double-tapered rotating micro-beam in thermal environment using modified couple stress theory

S Bhattacharya, D Das - Composite Structures, 2019‏ - Elsevier
Free vibration behavior of bidirectional-functionally graded, double-tapered rotating micro-
beam is investigated. An improved mathematical model based on Timoshenko beam theory …

Perspectives on the generalized modeling of six beam theories: A unified dynamic stiffness matrix

H Zhou, M Ling, Y Yin - Thin-Walled Structures, 2024‏ - Elsevier
High-precision, efficient and streamlined methods for the dynamic modeling and analyzing
of engineering structures have consistently captured attention of designers and researchers …

Coupled free vibration analysis of rotating non-uniform cantilever beams by an element-wise Ritz method using local hierarchical functions

RK Dangarwala, KVN Gopal - Computers & Structures, 2023‏ - Elsevier
The coupled free vibration behaviour of rotating non-uniform cantilever beams is
investigated by an efficient and accurate element-wise Ritz method using Bardell's …

Free vibration analysis of rotating Euler–Bernoulli beam with exponentially varying cross-section by differential transform method

M Nourifar, A Keyhani, A Aftabi Sani - International Journal of …, 2018‏ - World Scientific
In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is
carried out. It is assumed that the beam has exponentially decaying circular cross-section. In …

On the dynamic response of a hingeless helicopter rotor blade

P Sarker, UK Chakravarty - Aerospace Science and Technology, 2021‏ - Elsevier
The intense nature of the aerodynamic environment surrounding a helicopter can cause
excessive deflection of the rotor blades. Therefore, proper prediction of the aerodynamic …

Flap-wise and chord-wise vibrations of axially functionally graded tapered beams rotating around a hub

K Mazanoglu, S Guler - Mechanical Systems and Signal Processing, 2017‏ - Elsevier
This paper presents flap-wise and chord-wise flexural vibration analyses for centrifugally
stiffened tapered beams made of functionally graded material in axial direction. Functions of …

Free vibration and buckling analyses of geometrically non-linear and shear-deformable FGM beam fixed to the inside of a rotating rim

D Das - Composite Structures, 2017‏ - Elsevier
The present work investigates the out-of-plane (or flap-wise) and in-plane (or chord-wise)
free bending vibration of FGM beam, which is fixed to the inside of a rotating rim. A general …

A new tangent stiffness-based formulation to study the free vibration behavior of a transversely loaded Timoshenko beam with geometric nonlinearity

D Das - Journal of Vibration and Control, 2018‏ - journals.sagepub.com
A new formulation is introduced to study the free vibration behavior of a statically loaded
beam with geometric nonlinearity. The tangent stiffness of the statically loaded beam is used …

A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams

P Sarker, UK Chakravarty - Mathematics and Computers in Simulation, 2020‏ - Elsevier
Beam vibrations are encountered in real life and are important to investigate for proper
monitoring of the structural health. Closed-form solutions to one-dimensional beam vibration …

A tangent stiffness–based approach to study free vibration of shear-deformable functionally graded material rotating beam through a geometrically non-linear analysis

S Pal, D Das - The Journal of Strain Analysis for Engineering …, 2017‏ - journals.sagepub.com
An improved mathematical model to study the free vibration behavior of rotating functionally
graded material beam is presented, considering non-linearity up to second order for the …