Abstract
<p class="1Body">In this paper, variable stiffness damped absorbers are used to isolate the substructures of Euler-Bernoulli beam, modelled as lumped masses, from vibrations. The novel algorithm is developed that can be used to determine the required absorber masses and resonance frequencies to impose nodes at selected locations on beam with the constraint of vibration amplitude of absorber mass. Numerical simulations are performed to show the effectiveness of the proposed algorithm. Experimental test is conducted on a cantilever beam with two absorbers to verify the numerical results.</p>
Highlights
The tuned vibration absorber (TVA) was invented by (Frahm, 1911), since has been is an important engineering tool for vibration suppression
Spring-mass systems which are used as vibration absorbers to minimize excesses vibrations in continuous structure have received considerable interest in recent years. (Young, 1928) was the first to consider the application of absorber to control the vibrations of a continuous structure i.e. cantilever beam, at the absorber attachment point with the absorber tuned to the first natural frequency of the beam. (Manikanahally & Crocker, 1993) employed vibration absorbers to suppress any number of significant modes
The method was successfully applied to a space structure modeled as a mass-loaded free–free beam subjected to localized harmonic excitation. (Esmailzadeh & Jalili, 1998) presented a procedure in designing DVA for a structurally damped beam system subjected to distributed force excitation
Summary
The tuned vibration absorber (TVA) was invented by (Frahm, 1911), since has been is an important engineering tool for vibration suppression. The first classical paper on dynamic vibration absorber was by (Ormondroyd & Den, 1928) Their vibration absorber consisted of a tuned spring-mass used to suppress the response of a harmonic oscillator. The absorber is modeled as spring-mass-damper system and the optimum tuning and damping ratios are determine to minimize the beam dynamic response at the resonance frequency at which they operate. (Cha, 2004, 2005) employed spring-mass vibration absorber to reduce vibrations at desired locations by imposing node technique (Hao et al, 2011). The focus of (Cha & Rinker, 2012) was on enforcing nodes at desired location of damped Euler-Bernoulli beam during forced harmonic excitations using damped vibration absorbers. The Matlab routine global search is utilized to obtain the tuning frequencies of the absorbers. (Patil, & Awasare, 2016) developed an iterative procedure to find the required resonance frequencies of absorbers to impose node at selected locations on beam
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