Natural mode analysis of a telescopic boom system with multiple sections using the Rayleigh-Ritz method

Koo, Bonyong; Chang, Sung‐Pil; Kang, Soong-Hyun

doi:10.1007/s12206-018-0324-4

Cited by 4 publications

(1 citation statement)

References 3 publications

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“…More recently, Koo et al used polynomials to study the natural modes of a telescopic boom system with multiple sections. They obtained the first-mode natural frequency with an error of 4.6 % compared to FEM [12]. Bao et al used two sine functions and several cosine functions to conduct a vibration analysis of nanorods [13].…”

Section: Introductionmentioning

confidence: 99%

Choosing the Best Functions for the Rayleigh-Ritz Vibration Analysis of Beams

Mochida,

Eisenberger

2024

EPI-IJE

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The Rayleigh-Ritz Method is used extensively for the vibration analysis of structures. The accuracy depends on the assumed functions. In this work several different groups of functions are examined and compared for the accuracy of the resulting natural frequencies, and for the overall mode shape error norms calculated with respect to the known exact solutions. It is concluded that a set that combines low order polynomials, odd cosine and odd sine functions, or, even cosine and even sine functions, is more likely to yield the best accuracy and convergence of both frequency and mode shapes for a general beam structure.

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Section: Introductionmentioning

confidence: 99%

Choosing the Best Functions for the Rayleigh-Ritz Vibration Analysis of Beams

Mochida,

Eisenberger

2024

EPI-IJE

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Mechanical Properties Analysis for Telescopic Arm of a Trolley for Replace Plates

Ji,

Ma,

Feng

et al. 2024

Lecture Notes in Electrical Engineering

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Dynamic Contact Analysis of Flexible Telescopic Boom Systems with Moving Boundary

Zhao,

Qi,

Wang

2024

Mathematics

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A flexible telescopic boom is a multi-body system composed of several hollow booms nestled into each other. For this kind of system, due to the limitation of the elemental size being fixed, it is necessary to divide it into many small-sized elements and judge which two elements are in a contact state in real time using the traditional finite element methods. This complex operation often requires calculations on enormous scales and can even result in simulation failure. In view of the above difficulties, an efficient dynamic contact analysis model of flexible telescopic boom systems with a moving boundary is proposed in this study. Firstly, on the deformable axis of the boom, some crucial points are defined as inner and outer contact points, and spatial points are selected as nodes for describing the motion of the system. Secondly, in contrast to the traditional solid finite element method, the assumption that elemental nodes are fixed with the material points is removed, and on this basis, a geometrical nonlinear dynamic element with moving nodes is constructed, which can describe the moving boundary problem effectively and is used to model each boom. Thirdly, to better cooperate with the moving boundary conditions, a contact model and its corresponding discretization method are developed on the premise of not removing the sliding joint constraints, which are used for dynamic contact analysis considering the friction effect between adjacent booms. Finally, experiments were conducted to evaluate the accuracy of the modeling, wherein the dynamic response properties of the supported beam under the action of a moving load and the dynamic behavior of the telescopic boom being extracted were analyzed.

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Natural mode analysis of a telescopic boom system with multiple sections using the Rayleigh-Ritz method

Cited by 4 publications

References 3 publications

Choosing the Best Functions for the Rayleigh-Ritz Vibration Analysis of Beams

Choosing the Best Functions for the Rayleigh-Ritz Vibration Analysis of Beams

Mechanical Properties Analysis for Telescopic Arm of a Trolley for Replace Plates

Dynamic Contact Analysis of Flexible Telescopic Boom Systems with Moving Boundary

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