Specifying Nodes at Multiple Locations for Any Normal Mode of a Linear Elastic Structure

Cha, P.D.

doi:10.1006/jsvi.2001.3964

Cited by 18 publications

(4 citation statements)

References 10 publications

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“…The desired nodes can either coincide with the 301 Downloaded by [Selcuk Universitesi] at 23:24 04 February 2015 location of the oscillator chain or it can be located elsewhere. Using the same method, Cha [12] analyzed a freely vibrating structure with a series of sprung masses attached aiming to impose multiple nodes for any normal mode. Alsaif and Foda [13] presented an exact, direct, and elegant method based on the dynamic Green's function to determine the optimum values of masses and/or springs and their locations on a beam in order to confine the vibration at an arbitrary location.…”

Section: Introductionmentioning

confidence: 99%

Vibration Suppression of Symmetric Cross-Ply Laminated Composite Beam

Foda

Khdeir

2011

Mechanics of Advanced Materials and Structures

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A procedure using the dynamic Green's functions was proposed to suppress the transverse vibration of a symmetric cross-ply laminated composite beam excited by an external harmonic force. This was achieved by attaching a set of properly chosen masses and/or translational and rotational grounded springs at arbitrary selected locations along the beam. A scheme was proposed for choosing the optimal values of the added masses and the stiffness of the springs and their locations along the beam to confine the vibration in a certain chosen region. Beams with different boundary conditions, such as pinned-pinned, fixed-fixed, cantilever, free-free, simplyclamped, and simply-free beams, are considered. Other unconventional boundary conditions can be treated as well.

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Section: Introductionmentioning

confidence: 99%

Vibration Suppression of Symmetric Cross-Ply Laminated Composite Beam

Foda

Khdeir

2011

Mechanics of Advanced Materials and Structures

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“…However, the inverse problem of estimating a design parameter, such as a stiffness or a mass, so that the combined system meets certain requirements has received less attention. A few notable inverse problems investigated include the imposition of nodes at certain locations on a continuous structure by attaching resonators, [18][19][20] constructing a physically realizable system from a beam's eigen solutions 21 and generating by design certain natural frequencies in a beam with an added mass. 22 Table 1.…”

Section: Introductionmentioning

confidence: 99%

Quality-Factor Enhancing Locations for Substrate Mounted Resonators

Anilkumar¹,

George²,

Sharma³

2020

The International Journal of Acoustics and Vibration

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An important but often overlooked factor that affects the performance of a meso/micro electro mechanical vibratory sensor is the structural interaction between the sensor's resonator and the substrate on which it is mounted. Situating resonators at node points eliminates this interaction and thereby helps to improve a resonator's quality-factor for a particular mode of vibration. This paper addresses the problem of locating a single degree of freedom spring-mass resonator on a generic cantilever substrate. The loci of natural frequencies obtained when the resonator's mounting location is varied are developed, and the nodal locations are identified. Thereafter a method to obtain these locations from the characteristic equation without solving the associated eigenvalue problem is described. Lookup tables detailing the nodal locations and the corresponding natural frequencies for various resonator parameters are presented. It is found that at these special nodal locations, the magnitude of the power transmitted through anchors is negligible, which ensures minimal structural interaction between the resonator and the substrate.

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“…Cha and Pierre [8] proposed a method to impose a single node using the normal modes of a supported linear structure by mounting a chain of absorbers. Cha [8,9] used a set of parallel sprung masses to impose multiple nodes for any normal mode of an elastic structure. Cha [10] also induced a single or normal node on an elastic structure subjected to harmonic excitation by using a set of elastically mounted masses.…”

Section: Introductionmentioning

confidence: 99%

Imposing nodes for linear structures during harmonic excitations using SMURF method

2011

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Vibration absorbers are usually designed using the finite element (FE) model of structures. It is generally believed that the modal models are more accurate than FE models, because in modal testing the model is built by direct measurement of the test structure. In this paper, a method is proposed to design a translational vibration absorber using the measured frequency response functions of a primary structure. The designed vibration absorber imposes a node on the structure when it is excited by a harmonic force. The method is based on the structural modification using experimental frequency response functions technique and determines the required receptance of the absorber at the excitation frequency. Moreover, a procedure is developed to suppress the vibration amplitude of two arbitrary points on a linear structure subjected to harmonic excitations by attaching two sprung mass absorbers. A cantilever beam is considered for the numerical case study, and the sprung masses are designed to suppress the vibration amplitude of the beam at the selected arbitrary points. A U-shape plate was considered for the experimental validation of the method for imposing a node using one absorber. Also, a beam was tested to demonstrate the effectiveness of method for imposing two nodes on the structures. The experimental results show that the designed absorbers can considerably suppress the vibration amplitude at the selected points on the structure.

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Specifying Nodes at Multiple Locations for Any Normal Mode of a Linear Elastic Structure

Cited by 18 publications

References 10 publications

Vibration Suppression of Symmetric Cross-Ply Laminated Composite Beam

Vibration Suppression of Symmetric Cross-Ply Laminated Composite Beam

Quality-Factor Enhancing Locations for Substrate Mounted Resonators

Imposing nodes for linear structures during harmonic excitations using SMURF method

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