Dynamic Characteristics of Stepped Cantilever Beams Connected With a Rigid Body

Kwon, Hyuck-Dong; Park, Y.-P.

doi:10.1006/jsvi.2001.4185

Cited by 9 publications

(3 citation statements)

References 11 publications

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“…His result shows that natural frequencies and modes are affected by the geometrical coupling and dimensional parameters. Kwon et al improved Anderson's model into a stepped beam structure and showed that natural frequencies were changed by various beam conditions [10].…”

Section: Introductionmentioning

confidence: 99%

Vibration of two cantilever beams clamped at one end and connected by a rigid body at the other

Lee

2009

J Mech Sci Technol

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This study presents the pure bending and coupled bending-torsional vibration characteristics of a beam structure which consists of two cantilever beams and a rigid body at their free ends. This structure is available in many mechanical structures such as robots, space constructions, and optical pickup actuators in optical disc drives (ODDs). In order to depict the vibration of the beam structure originating from the deflection and torsion of two beams, the motion equations and continuity conditions are analytically induced by using energy conservation. In the process that the free vibration problem is solved, two independent characteristic equations are obtained. The former is an equation for the pure bending vibration of two beams, and the latter is for their coupled bending-torsional vibration. It is proved that these characteristic equations are exact by comparing natural frequencies obtained from FEM. As natural frequencies are described in many dimensional variations, the relation between vibration characteristics and the dimensions of the given system is also investigated. Finally, resonant frequencies from test results are presented to confirm the validation of this study for a new type optical pickup actuator.

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Section: Introductionmentioning

confidence: 99%

Vibration of two cantilever beams clamped at one end and connected by a rigid body at the other

Lee

2009

J Mech Sci Technol

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“…Kyung Taek Lee [4] mathematically analyzed the vibration characteristics of four parallel and uniform beams and application of the mathematical analysis to a real system was presented as a concrete case to show the usefulness of their study. K won and Park [5] solved a vibration problem for two parallel and stepped beams.…”

Section: Introductionmentioning

confidence: 99%

Effect of the connection position to the vibration characteristics for beams

Liu

2010

2010 International Conference on Mechanical and Electrical Technology

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This paper presents an investigation into the effect of the connecting position where local stiffness varies on the vibration characteristics of an Euler-Bernoulli beam. It is aimed at determining the optimal connecting position for minimum deviation from the desirable vibration characteristics of the beam. Mathematical formulation is performed to reveal the relationship between the connecting position and the natural frequency of a beam. Numerical simulation of a vibrating beam with multi connections by FE method is performed with the results to show the correlation demonstrated in the theoretical analysis. Based on the study, a slender air vehicle structure is taken as an example to locating the optimal connecting position where the local stiffness is reduced. The results show that the distribution of connecting position for the structure can be determined to obtain the desirable vibration characteristics.

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“…In this case, all elastic segments are in the same plane where, while the system is oscillating, rigid bodies are performing planar motion. To the authors' best knowledge of the literature, a special case of thus described system was considered in references [18,19].…”

Section: Introductionmentioning

confidence: 99%