Modal Analysis of Monolithic and Jointed Type Cantilever Beams with Non-Uniform Section

Purohit, Bimal; Jain, P C; Pandey, Ashok Kumar

doi:10.1007/s11340-016-0149-y

Cited by 8 publications

(2 citation statements)

References 26 publications

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“…The only solution of this equation occurs when , though an infinite number of such values as per the Bimal. 2 However, only one smallest value will occur somewhere near the cosine function first become negative, just beyond This is the numerical/ graphical solution that provides the first value as Now by placing the exact positive value of in the fundamental natural frequency corresponding to its first mode number, the equation can be expressed as:…”

Section: Mathematical Analysis Boommentioning

confidence: 99%

Failure Analyses of Tower Crane Using Fem and Theoretical Studies

Ghazwani

Alnujaie

Chandravanshi

et al. 2022

Yanbu Journal of Engineering and Science

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This paper describes the technique to explicitly increase the tower crane’s stability during cyclones through modal analysis in FEM. For this, modal analyses of a boom, mast, and tower crane are carried out individually to minimize the tuning effect of natural frequencies. The study explains the methodology to increase the stiffness using bracings in the mast expressed in modal parameters. In FEM analysis, bracings are applied in fixed support along the vertical mast of the tower crane. For this purpose, a 1/10 scale model of “Potain MCi85 A/B” tower crane was modelled in Nx-Unigraphics. Theoretical analysis of the boom’s natural frequencies and its counterweight is assumed as cantilever beam and mast in form column. The values of natural frequencies of tower cranes under different boundary conditions are obtained through Galerkin and Dunkerley’s mathematical expressions. Theoretical and FEM results established similar trends of increasing stability as revealed in terms of natural frequencies of the tower crane.

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Section: Mathematical Analysis Boommentioning

confidence: 99%

Failure Analyses of Tower Crane Using Fem and Theoretical Studies

Ghazwani

Alnujaie

Chandravanshi

et al. 2022

Yanbu Journal of Engineering and Science

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“…From the table it can be seen that the error percentage is as small as 0.1% to a maximum of 8%, which shows that the experimental and numerical resonance frequencies are in good agreement. Also, we have performed an analytical study to determine the fundamental mode resonance frequency of the stepped trapezoidal as well as the rectangular-shaped microcantilever beams based on the Rayleigh method as described by Purohit et al [28] for monolithic cantilever beams. Table 2 presents a comparison of the experimental and analytically measured fundamental resonance frequencies for stepped trapezoidal as well as rectangular-shaped microcantilever beams.…”

Section: Modal Analysismentioning

confidence: 99%

An analysis of stepped trapezoidal-shaped microcantilever beams for MEMS-based devices

Ashok

Gangele

Pal

et al. 2018

J. Micromech. Microeng.

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Microcantilever beams are the most widely used mechanical elements in the design and fabrication of MEMS/NEMS-based sensors and actuators. In this work, we have proposed a new microcantilever beam design based on a stepped trapezoidal-shaped microcantilever. Single-, double-, triple- and quadruple-stepped trapezoidal-shaped microcantilever beams along with conventional rectangular-shaped microcantilever beams were analysed experimentally, numerically and analytically. The microcantilever beams were fabricated from silicon dioxide material using wet bulk micromachining in 25 wt% TMAH. The length, width and thickness of the microcantilever beams were fixed at 200, 40 and 0.96 µm, respectively. A laser vibrometer was utilized to measure the resonance frequency and Q-factor of the microcantilever beams in vacuum as well as in ambient conditions. Furthermore, finite element analysis software, ANSYS, was employed to numerically analyse the resonance frequency, maximum deflection and torsional end rotation of all the microcantilever beam designs. The analytical and numerical resonance frequencies are found to be in good agreement with the experimental resonance frequencies. In the stepped trapezoidal-shaped microcantilever beams with an increasing number of steps, the Q-factor, maximum deflection and torsional end rotation were improved, whereas the resonance frequency was slightly reduced. Nevertheless, the resonance frequency is higher than the basic rectangular-shaped microcantilever beam. The observed quality factor, maximum deflection and torsional end rotation for a quadruple-stepped trapezoidal-shaped microcantilever are 38%, 41% and 52%, respectively, which are higher than those of conventional rectangular-shaped microcantilever beams. Furthermore, for an applied concentrated mass of 1 picogram on the cantilever surface, a greater shift in frequency is obtained for all the stepped trapezoidal-shaped microcantilever beam designs compared to the conventional rectangular microcantilever beam.

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Dynamic Analysis of 3D Printed Polylactic Acid Bolted Joint Beams

Sibivivek

Pandey

2022

Lecture Notes in Mechanical Engineering

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Modal Analysis of Monolithic and Jointed Type Cantilever Beams with Non-Uniform Section

Cited by 8 publications

References 26 publications

Failure Analyses of Tower Crane Using Fem and Theoretical Studies

Failure Analyses of Tower Crane Using Fem and Theoretical Studies

An analysis of stepped trapezoidal-shaped microcantilever beams for MEMS-based devices

Dynamic Analysis of 3D Printed Polylactic Acid Bolted Joint Beams

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