An FEM-based method to evaluate and optimize vibration power flow through a beam-to-plate connection

Silva, Olavo M.; Neves, Miguel M.; Jordan, Roberto; Lenzi, Arcanjo

doi:10.1007/s40430-015-0360-2

Cited by 13 publications

(4 citation statements)

References 19 publications

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“…It is a powerful and advanced method to assess the VEF transmitted in structures by characterizing the magnitude and directions of vibration energy, which represents the VEF through an elastic medium per unit time and unit cross-sectional area. Its general expression combining the stresses with the particle velocities can be written as 29 I i ðtÞ ¼ Àσ ij ðtÞv j ðtÞ i,j ¼ 1; 2; 3 (1) where I i ðtÞ is the component of the instantaneous SI; σ ij ðtÞ is the component of the stress tensor at a point where i is the normal direction of the area and j is the direction of this variable; v j ðtÞ is the velocity in the j-direction at time t. For solid elements, the SI indicates the VEF at a given infinitesimal volume. Each of the solid element surfaces includes a direct stress in accordance with the normal direction of this surface and two shear stresses perpendicular to the normal stress and orthogonal to each other, as shown in Figure 1.…”

Section: Structural Intensity Methodsmentioning

confidence: 99%

“…There are two main groups of methods being usually considered for solving vibration control problems: passive control method (PCM) and active control method (ACM). 1 For passive and active vibration control, each one has its own advantages and disadvantages. The PCM is a simple approach which includes the use of dynamic vibration absorbers, barriers, viscous dampers, etc., to attenuate the interior vibration and noise.…”

Section: Introductionmentioning

confidence: 99%

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Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Zhao

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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Vibration control is a permanent and significant issue in all forms of structural dynamic analysis with the consistent objective being to minimize vibration levels. Considering that the propagation of vibration waves is essentially the transmission of vibrational energy flow (VEF), the fundamental requirement, therefore, is to minimize the VEF transmitted from sources to sinks and then to control and block the flow of vibration energy. Structural intensity (SI) method, combining forces with velocities to assess the magnitude and directions of VEF, is alternative to classical dynamic assessment methods offering insight into the transmission of VEF and studying additional phenomena which cannot be obtained by conventional dynamic analysis. In the field of noise, active noise control has been widely used in vehicles and headphones, which has achieved remarkable results by introducing a cancelling ‘anti-noise’ wave through an appropriate array of secondary sources. Analogically, it is considered whether the vibration of the structure can be attenuated by introducing a secondary reverse excitation (SRE) to offset the VEF transmitted in the structure. Therefore, this article combines the SI method and SRE to carry out related research on this issue. The rectangular plate with the circular hole subjected to the transient sinusoidal force, being widely used and found in various engineering branches, is taken as the research object. The developed simulation system consisting of the finite element tool and the in-house program is used to assess and visualize the instantaneous SI fields. The effects of the SRE acting on this structure on the transmission behaviours of VEF and the vibration suppression have been investigated in detail. Moreover, the transmission, conversion and balance relationships of the VEF have been derived from the general equation of motion and analysed as well. This study sheds new light on the vibration attenuation by introducing the secondary source from the perspective of VEF.

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Section: Structural Intensity Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Zhao

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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“…Cassidy et al [24] proposed a general nonlinear control synthesis method for power flow constrained energy harvesters, which is analytically guaranteed to be superior to the optimal static admittance in the steady state random response. Silva et al [25] proposed a technique for evaluating and optimizing vibrational power flow involving beam-and-plate coupling. Varghese et al [26] applied the combined transient power flow balancing and acceleration matching techniques to detect and quantify the crack damage of beam structures at different positions.…”

Section: Introductionmentioning

confidence: 99%

Effect of Support Stiffness Nonlinearity on the Low-Frequency Vibro-Acoustic Characteristics for a Mechanical Equipment—Floating Raft—Underwater Cylindrical Shell Coupled System

Wang,

Huo

2023

Inventions

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The low-frequency vibro-acoustic characteristics of a mechanical equipment—floating raft—cylindrical shell—underwater acoustic field coupled system with nonlinear supports are studied in this paper. Firstly, the state space equations were established by a modal superposition theory for the coupled system, and a modal parameter identification method was deduced and verified for the cylindrical shell—underwater acoustic field coupled subsystem. On this basis, the formulas were derived for transmitted power flow in the coupled system, and the nonlinear stiffness constitutive relation of the vibration isolation supports was expressed by softening and hardening characteristics. Finally, dynamic simulations were carried out by the Runge—Kutta method to analyze the effect of nonlinear stiffness characteristic parameters on the low-frequency vibration modes and vibro-acoustic transfer characteristics in the coupled system. The research shows that a superharmonic phenomenon is common in the steady vibration mode of the coupled system with a nonlinear softening (or hardening) stiffness characteristic under harmonic excitation. The stronger the softening (or hardening) stiffness characteristic is, the more complex the vibration form is, and the smaller (or larger) the low-frequency vibro-acoustic transfer level in resonance regions is.

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“…Mandal et al 11 conducted an experimental investigation of a corrugated plate and the results have proved that the usage of a corrugated plate is effective in controlling flexural waves in the plate and accordingly reducing structure-born sound radiation due to increased rigidity. Silva et al 12 combined finite element concepts and algebraic computation to evaluate vibration power flow at the interface of a beam and a plate. The beam diameter was optimized to attenuate the plate vibration by minimizing the vibration power flow with the gradient algorithm.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of a shaft bracket-plate coupled system

Yang

Xie

Ren

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part M:

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Active vibration control of a shaft bracket-plate coupled system is investigated. The vibration of the plate is controlled with electromagnetic vibration absorbers (EVAs), which are mounted around the feet of the shaft bracket to impede the transmission of vibration from the bracket apex to the plate. A dynamic model is established on the Timoshenko beam theory and the Kirchhoff thin plate theory to reveal the mechanism of vibration transmission. It is exhibited that all the induced forces and moments at the coupling points contribute much to the transverse responses of the plate. The feasibility of active control with the EVAs is evaluated numerically based on the controllability of the plate vibration. It is demonstrated that the two-point in-plane control is able to attenuate the plate vibration under the excitation of in-plane disturbance forces, while the multi-point control is effective in reducing the plate vibration regardless of the directions of disturbance forces. An experimental system is built to verify the performance of the two-point in-plane control. The results have shown that with the help of adaptive control, the two-point in-plane control is capable of suppressing the vibration of the foundation induced by the in-plane forces acting on the shaft bracket.

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An FEM-based method to evaluate and optimize vibration power flow through a beam-to-plate connection

Cited by 13 publications

References 19 publications

Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Effect of Support Stiffness Nonlinearity on the Low-Frequency Vibro-Acoustic Characteristics for a Mechanical Equipment—Floating Raft—Underwater Cylindrical Shell Coupled System

Active vibration control of a shaft bracket-plate coupled system

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