Axisymmetric vibration of point-supported circular plates

Azimi, Sajjad

doi:10.1016/0022-460x(89)90721-9

Cited by 6 publications

(5 citation statements)

References 6 publications

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“…When more simple supports were set up at the interior of a thin disc, the in-plane radial force q r and torsional force q  in the Eqs. (1) and (2) could be expressed as [17,18] For the design of a constrained-tuning modifiedmode (CTMM) ultrasonic actuator in this study, the two various free-degenerated modes with different exciting frequencies are modified by constraints. Hence, not only the pairs of partial degenerated wave modes are considered as the basis of modal expansion, but also the pure radial mode and pure torsional mode are truncated.…”

Section: Theorical Estimation Of In-plane Wave Propagation With Innermentioning

confidence: 99%

“…Hence, not only the pairs of partial degenerated wave modes are considered as the basis of modal expansion, but also the pure radial mode and pure torsional mode are truncated. To apply modal participation factors () integrated with known in-plane free plane-wave modes and the modal expansion technique [16][17][18], the plane waves of the constrained thin disc for in-plane vibration are given as…”

Section: Theorical Estimation Of In-plane Wave Propagation With Innermentioning

confidence: 99%

“…For the above mentioned thin-disc actuators, the theoretical solution of out-of-plane and in-plane vibration modes for a free disc was completed [11][12][13][14][15]. Also, the innerconstrained analytical motion equation in out-of-plane direction was modeled by some theoretical researchers [16][17][18]. However, the in-plane motion with inner constraints on a thin-disc needs more theoretical investigation, especially in a constraint-tuning concept for the actuator design.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Estimation and Modeling for Constraint-Tuning Ultrasonic Actuator

2012

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Using a piezoelectric unimorph vibrator with constraint-tuning modified-mode (CTMM) mechanism, a novel design of a thin-disc ultrasonic actuator was developed to drive an optical sled. The theoretical estimation of in-plane wave propagation on a thin disc is introduced to explain the novel actuating mechanism, via a modal expansion technique and modal participation factors. Furthermore, the approximate wave propagations could be illustrated by the practical estimated wave equations in this study. Applying four screws at the exact distribution of angles on the thin-disc vibrator, the actuating mechanism of ultrasonic modified modes is generated and propagated. The in-plane vibration modes could be tuned by these desired screw constraints on the piezoelectric vibrator. The ultrasonic actuator offers the output force to drive an optical sled by friction contact in bilateral motions. To implement the equilibrium structure force in bilateral directions, natural and forced analysis as well as impedance comparison of FEM software ANSYS are also introduced into the constrained design. Hence, there are two various modified modes chosen at the different resonant frequencies within the electromechanical coupling of piezoelectric material to pursue more efficiency in energy conversion. Experimental results have demonstrated consistency with the approximate theoretical approach of the in-plane wave propagation and simulations based on the concept of constrained-tuning modified modes.

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Section: Theorical Estimation Of In-plane Wave Propagation With Innermentioning

confidence: 99%

Section: Theorical Estimation Of In-plane Wave Propagation With Innermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical Estimation and Modeling for Constraint-Tuning Ultrasonic Actuator

2012

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“…Hence, not only the pairs of partial degenerated wave modes are considered as the basis of modal expansion, but also the pure radial mode and pure torsional mode are truncated. To apply modal participation factors ( η ) integrated with known in-plane free plane-wave modes, and the modal expansion technique [11][12][13], the plane waves of the constrained thin disc for in-plane vibration are given as…”

Section: Ultrasonic Actuating and Improved Mechanism For An Optical Sledmentioning

confidence: 99%

System Configuration and Evaluation for Optical Sled Drive Using Constraint-Tuning Ultrasonic Actuator

Lai

Wen

Shen³

et al. 2011

AMM

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Through the estimated method for constraint-tuning modified-mode (CTMM), an innovative thin-disc piezoelectric ultrasonic actuator is used to drive an optical sled in this study. With four screws positioned on the thin-disc actuator at the angle distribution of 00, 900, 1800, and 3200, both modified modes of ((1, 2))Cand ((1, 1))S in vibration provide an approximate equilibrium force to push an optical sled in bilateral movement. The innovative ultrasonic actuator has the vibrator’s compact and thinner structure, a thickness of 3 millimeters, without a gearbox rather than a conventional DC sled motor. Using contact friction to drive an optical sled with quick tracking in bilateral motion, experimental results demonstrate obtaining the desired function by a proposed single-phase, bi-frequency LC resonant driving circuit as well as remaining the original sled controller. The general specification of linear speed achieves 200－300 mm/s at less power dissipation for pushing the CD652A BenQ sled drive with 1.0 N output force and 20%－33% efficiency.

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“…Kirk and Leissa [22] examined how a concentric ring-sti ener a ected the lowest vibration frequencies of a circular plate and tried to nd the best position to place the absorber. Azimi [23] presented a way to attenuate the vibrations using an elastic point support on the plate. Kunukkasseril and Swamidas [24] investigated the free vibrations of isotropic and orthotropic plates supported by a nite number of elastic or rigid concentric rings.…”

Section: Introductionmentioning

confidence: 99%

Optimized design of adaptable vibrations suppressors in semi-active control of circular plate vibrations

2018

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Due to exibility of thin plates, high-amplitude vibrations are observed when they are subjected to severe dynamic loads. Because of the extensive application of circular plates in industry, attenuating the undesired vibrations is of foremost importance. In this paper, Adaptable Vibration Suppressors (AVSs) as a semi-active control approach were utilized to suppress the vibrations in a free circular plate under the concentrative harmonic excitation. Using mode summation method, the mathematical model of the hybrid system including the plate and an arbitrary number of vibration suppressors was analyzed. By developing a complex multiple-loop algorithm, optimum values for the parameters of AVSs (sti ness and position) were achieved such that the plate de ection was comprehensively minimized. According to the results, AVSs acted e ciently in suppressing the vibrations in resonance/non-resonance conditions. It was also observed that optimum AVSs reduced the plate de ection over a broad spectrum of excitation frequencies. Finally, since the algorithm was developed in a general user friendly style, design of AVSs could be extended to other shapes of plates with various boundary conditions and excitations.

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Axisymmetric vibration of point-supported circular plates

Cited by 6 publications

References 6 publications

Theoretical Estimation and Modeling for Constraint-Tuning Ultrasonic Actuator

Theoretical Estimation and Modeling for Constraint-Tuning Ultrasonic Actuator

System Configuration and Evaluation for Optical Sled Drive Using Constraint-Tuning Ultrasonic Actuator

Optimized design of adaptable vibrations suppressors in semi-active control of circular plate vibrations

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