Vibratory characteristics of cracked non-uniform beams with different boundary conditions

Liu, Hanbing; Wei, Zhigang; Tan, Guojin; Han, Yangyang; Liu, Ziyu

doi:10.1007/s12206-018-1238-x

Cited by 10 publications

(2 citation statements)

References 44 publications

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“…The effect of crack on vibration of beam is investigated using rigid segment method (Nikolić and Šalinić, 2020). Free vibration of Euler–Bernoulli beam with varying moment of inertia and density is performed by Liu et al (2019). The effect of shear stresses on a tapered beam is studied using analytical and numerical analysis (Su and Zhou, 2022).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis on centrifugal stiffening of rotating cracked tapered functionally graded beam for flap-wise vibrations

Kumar

Panigrahi

2023

Journal of Vibration and Control

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Vibration-based condition monitoring for remotely located rotating blades is one of the important aspects to avoid sudden breakdown of the machinery. Vibration analysis of damaged blades provides the information to identify the damage during operation. In this work, dynamic attributes of rotating cracked tapered cantilever functionally graded material (FGM) beams for various tapered configurations are investigated using energy method. The nonlinearity due to in plane stretching as a result of large deformations is taken in to consideration. Nonlinear governing equations for cracked rotating tapered FGM beams are generated by optimizing the energy functional. An iterative algorithm is developed to solve the derived nonlinear equations. The effects corresponding to location of crack and centrifugal stiffening on the various modes has been presented for different tapered configurations, material indices, crack depths and rotational speeds. Crack compensating speeds are studied and reported for different tapered ratios and crack parameters for the first time. The effect of crack location and crack depth on the first two nonlinear frequency ratios is also investigated for different tapered configurations and material indices. The influence of centrifugal stiffening on nonlinear responses of FGM beams is presented for various crack parameters and tapered configurations.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis on centrifugal stiffening of rotating cracked tapered functionally graded beam for flap-wise vibrations

Kumar

Panigrahi

2023

Journal of Vibration and Control

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“…An analytical method was used to determine the vibration frequency and mode shapes. Liu et al [23] applied the exact method to study the vibrations of a cracked non-uniform beam with different ends using the transfer matrix approach. The crack was in the form of a massless torsional spring with sectional flexibility.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Transverse Vibration Characteristics of Cracked Axially Moving Functionally Graded Beam Under Thermal Load

Elaikh

Agboola²

2022

Trends Sci

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This article presents a new analysis of the vibration characteristics of open-edge cracks for graded moving beams under thermal load. The material property gradient is based on the distribution of the power law in the direction of the beam thickness. The vibration equation is obtained depending on the precept of Hamilton and resolved by the extension of Galerkin’s approach. A rotational spring is used to represent the cracking in the beam. The effects of the axial velocity, gradient index, thermal load, and cracking parameters on vibration characteristics are observed. Furthermore, the mode shapes of the simple support cracked moving graded beam are determined. The results show that the rise in the axial velocity, the crack depth, and the material property index led to a decrease in the natural frequencies, which indicates the results obtained. HIGHLIGHTS Stability and vibrations analysis of the cracked gradient beams with an axial motion under a uniform temperature rise The effect of axial velocity, gradient index, thermal load, and cracks parameter was studied Galerkin’s technique is developed for vibrational analysis of cracked graded beams with longitudinal motion The Euler-Bernoulli beam model was used taking into account the effect of rotatory inertia GRAPHICAL ABSTRACT

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A review on vibrating beam-based micro/nano-gyroscopes

et al. 2021

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Vibratory characteristics of cracked non-uniform beams with different boundary conditions

Cited by 10 publications

References 44 publications

Nonlinear dynamic analysis on centrifugal stiffening of rotating cracked tapered functionally graded beam for flap-wise vibrations

Nonlinear dynamic analysis on centrifugal stiffening of rotating cracked tapered functionally graded beam for flap-wise vibrations

Investigation of Transverse Vibration Characteristics of Cracked Axially Moving Functionally Graded Beam Under Thermal Load

A review on vibrating beam-based micro/nano-gyroscopes

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