Buckling and postbuckling behaviors of symmetric/asymmetric double-beam systems

Chen, Bo; Xu, Qi; Zhu, Bin; Yang, Yukang; Li, Yinghui

doi:10.1016/j.ijmecsci.2022.107712

Cited by 9 publications

(3 citation statements)

References 80 publications

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“…Figure 3 shows the first ten mode shapes of the ABH D-beam system. Due to the spring force, the movement of the system has two patterns, in-phase vibration and out-of-phase vibration, depending on whether the two beams move toward the same or opposite direction(s) (Chen et al, 2022). For instance, the 1 st , 2 nd , 5 th , and 7 th mode shapes are characterized by the same movement direction and thus defined as in-phase vibration.…”

Section: Solutions Of the Natural Frequencies And Mode Shapesmentioning

confidence: 99%

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Sheng

Ding

2023

Journal of Vibration and Control

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In this paper, we present a study of vibration characteristics of the double-beam structures combined with the concept of the acoustic black hole (ABH), which is an effective technique for vibration and noise control. In the proposed double-beam structure, the ABH beam as the vibration damper is attached to the primary uniform beam by a range of translational and rotational springs. We formulate the closed-form spectral element matrix of the double-beam structure and calculate the natural frequencies and mode shapes of the system. The results demonstrate the ABH effect of increasing the modal damping ratios. We also study the power flow and mechanical intensity of the system to offer physical insight into the vibration suppression mechanism of the ABH. A detailed parametric analysis of both translational and rotational springs is carried out. The investigation contributes to the exact dynamic modelling and analysis of the double-beam system containing ABH elements. Furthermore, the proposed ABH double-beam structure shows great potential for vibration control and energy harvesting.

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Section: Solutions Of the Natural Frequencies And Mode Shapesmentioning

confidence: 99%

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Sheng

Ding

2023

Journal of Vibration and Control

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“…In order to test the rationality of the finite element modeling method, the correctness and effectiveness of the SDR-BRB finite element model established by this method are verified by comparing with the existing test results of a tritube BRB [33]. Using the eigenvalue buckling analysis method [34][35][36], the typical overall elastic buckling modes of the pin-ended SDR-BRB finite element model under the action of the axial load P are the single-wave symmetric buckling mode and the double-wave antisymmetric buckling mode, as shown in Figure 7: the elastic buckling mode of the SDR-BRB is the same as that of the shuttle-shaped variable-section steel tube column, although there are significant differences in their force mechanism and basic composition.…”

Section: Establishment and Verification Of The Finite Element Modelmentioning

confidence: 99%

Theoretical and Numerical Studies of Elastic Buckling and Load Resistance of a Shuttle-Shaped Double-Restrained Buckling-Restrained Brace

Jun

Jin

et al. 2023

Buildings

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A new type of shuttle-shaped double-restrained buckling-restrained brace (SDR-BRB) is proposed, which adopts the form of a shuttle-shaped deformation section similar to its bending moment distribution as the external restraining system. The SDR-BRB has the advantages of superlong size, high load-carrying capacity, and lightweight components, and is suitable for use in large-span spatial structures and bridge structures with an exposed BRB. First, the calculation formula of the elastic buckling load of a pin-ended SDR-BRB is derived based on the equilibrium method, which is verified through the eigenvalue buckling analysis method, and the effects of the main geometric parameters on its elastic buckling behavior are evaluated. The effects of multiple key factors on the load-carrying capacity of the SDR-BRB are then studied by parametric analysis. The results show that the restraining ratio, initial imperfection, and gap have significant effects on the ultimate load-carrying capacity and overall stability of the SDR-BRB, while the effect of the diameter–thickness ratio is relatively small. On this basis, the fitting formula of the critical restraining ratio of the SDR-BRB considering the influences of initial imperfection and gap is proposed and verified by finite element analysis. The research lays a foundation for further research into the elastic–plastic hysteretic behavior and design method of an SDR-BRB.

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“…The effect of constant axial tensile and compressive loads on the eigenpairs of a uniform beam was analyzed in detail by considering different boundary conditions [19,20], and when the compressive load reached the critical buckling loading, these effects were analyzed in detail for uniform beams with various end conditions. The buckling and post-buckling behaviors of a double-beam system supported on a Winkler-Pasternak elastic foundation under a compressive load were analyzed through numerous parametric studies [21]. To analyze the critical dynamic buckling loads, an axially compressed piezoelectric semiconductor rod simply supported at both ends was studied [22].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Elastically Restrained Tapered Beams with Concentrated Mass and Axial Force

Lee

2023

Applied Sciences

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This study proposes a new numerical method for the free vibration analysis of elastically restrained tapered Rayleigh beams with concentrated mass and axial force. The beam model had elastic support, concentrated mass at both ends, and axial force at the right end. The elastic supports were modeled as translational and rotational springs. The shear force and bending moment were determined under the assumption that the sum of the forces at arbitrary positions and the joint between the beam and elastic supports always becomes zero. Therefore, a frequency determinant is established considering the free-free end condition at both ends, but various boundary conditions were constructed by adjusting the values of the elastic springs in the frequency equation. This assumption simplified the deduction procedure, and the method’s efficiency was demonstrated through various comparisons. In particular, the value of compressive loading at which the first natural frequency vanished was investigated by considering the taper ratio based on the relationship between the elastic support and compressive loading. The analyzed results can be adopted as benchmark solutions for other approaches. The frequency determinant employs the transfer matrix method; however, numerical methods can easily be utilized in other approaches.

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Buckling and postbuckling behaviors of symmetric/asymmetric double-beam systems

Cited by 9 publications

References 80 publications

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Theoretical and Numerical Studies of Elastic Buckling and Load Resistance of a Shuttle-Shaped Double-Restrained Buckling-Restrained Brace

Free Vibration Analysis of Elastically Restrained Tapered Beams with Concentrated Mass and Axial Force

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