2011
DOI: 10.1016/j.finel.2011.01.006
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Bi-dimensional finite element analysis for modal separation of a circular cylindrical WW-USM

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Cited by 16 publications
(4 citation statements)
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“…For wave propagation, ignoring damping, the governing finite element equation is expressed as M f̈U g SfU g fF ext g; (11) where [M ] is the mass matrix, [S] is the stiffness matrix, fU g is the displacement vector, f̈U g is the acceleration vector, and fF ext g is the external force vector. Equation (11) is solved using the Newmark time integration method [29,30].…”
Section: Research Articlementioning
confidence: 99%
See 1 more Smart Citation
“…For wave propagation, ignoring damping, the governing finite element equation is expressed as M f̈U g SfU g fF ext g; (11) where [M ] is the mass matrix, [S] is the stiffness matrix, fU g is the displacement vector, f̈U g is the acceleration vector, and fF ext g is the external force vector. Equation (11) is solved using the Newmark time integration method [29,30].…”
Section: Research Articlementioning
confidence: 99%
“…Further, the stress and displacements fields were determined by numerical simulation at several frequencies and slope angles. Recently, using the bi-dimensional finite element analysis (Bi-d FEA) method, Yu et al [11] described a modal separation model, which improved the performance of wedge wave ultrasonic motors. Tomoda et al [12] imaged the near-gigahertz flexural acoustic waves propagating in a thin gold wedge, which were deposited on an ultrathin silicon nitride slab, by using an ultrafast optical technique.…”
Section: Introductionmentioning
confidence: 99%
“…There are many modal extraction methods in the ANSYS [10]. Block Lanczos method was used to complete modal analysis.…”
Section: A Resonant Frequency Analysismentioning
confidence: 99%
“…Ultrasonic motors (USMs) offer a multitude of advantages in comparison to electromagnetic motors, such as the ability to generate motion at the nanometer scale; being compact, energy saving, and large driving; and can hold forces in small sizes and conduct silent nonmagnetic operations, especially at the millimeter scale [ 1 , 2 , 3 , 4 , 5 ]. The aforementioned advantages make USMs highly suitable for ultraprecise positioning in specialized environments and endow them with significant potential in the fields of aerospace mechanisms, optical instruments, biological equipment, and micro-electromechanical systems [ 6 , 7 ].…”
Section: Introductionmentioning
confidence: 99%