A Directional Converter of Longitudinal Vibration with One Input and Multiple Outputs

2019 ◽  
Vol 105 (5) ◽  
pp. 753-758
Author(s):  
He Xiping ◽  
Zhang Haidao
Keyword(s):  
Finite Element Method ◽  
Longitudinal Vibration ◽  
Frequency Equation ◽  
Vibration Modes ◽  
Excitation Voltage ◽  
The Finite Element Method ◽  
Resonant Frequencies ◽  
Multiple Outputs ◽  
Input And Output ◽  
Good Agreement

Traditional power ultrasonic vibration systems can process one object at one time and only have one output. A directional converter of longitudinal vibration with multiple outputs composed of an input rod, a hemispherical vibrator, and three output rods is presented. The frequency equation used in the design is derived with free edges at the input and output ends of the converter, as well as the continuity of displacements, forces, and angles of rotation at each component junction. The resonant frequencies of three fabricated converters designed using the proposed method are in good agreement with those from the finite element method and also with tested values. With the input end of the converter joined with a piezoelectric transducer with a resonant frequency of 19.8 kHz, the longitudinal vibration modes and displacement amplitudes of the output ends of the three converters at their resonant frequencies are tested. The results show that longitudinal vibration can be transferred from the input end to the multi-output ends through the converter. Furthermore, there exists a linear relationship between the excitation voltage and the displacements of each output of the converter.

The vibration of ring-stiffened prolate domes under external water pressure

2003 ◽  
Vol 217 (2) ◽  
pp. 173-185
Author(s):  
C T F Ross ◽  
A P F Little ◽  
L Chasapides ◽  
J Banks ◽  
D Attanasio
Keyword(s):  
Finite Element Method ◽  
Experimental Investigation ◽  
Finite Element ◽  
Water Pressure ◽  
The Finite Element Method ◽  
Resonant Frequencies ◽  
External Water Pressure ◽  
External Water ◽  
Theory And Experiment ◽  
Good Agreement

The paper presents a theoretical and an experimental investigation into the free vibration of three ring-stiffened prolate domes in air and under external water pressure. The theoretical investigation was via the finite element method where a solid fluid mesh was used to model the water surrounding each dome. Good agreement was found between theory and experiment. Both the theory and the experiment found that, as the external water pressure was increased, the resonant frequencies decreased.

Design and Simulation of Silicon-Based Ultrasonic Nozzles for Production of Monodispersed Droplets

2007 ◽  
Author(s):  
C. H. Cheng ◽  
N. Wang ◽  
Y. L. Song ◽  
S. C. Tsai ◽  
Y. F. Chou ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Mode Shape ◽  
High Frequency ◽  
Vibration Amplitude ◽  
Vibration Mode ◽  
Longitudinal Vibration ◽  
Ultrasonic Frequency ◽  
Resonant Frequencies ◽  
Silicon Based ◽  
Good Agreement

This paper reports the design and simulation of Si-based ultrasonic nozzles (or atomizers) that consist of multiple Fourier horns at ultrasonic frequency ranging from 0.57 to 2.75 MHz. Such high frequency ultrasonic nozzles should produce monodispersed droplets (or drops) 2 to 6 μm in diameter, which are ideal to efficiently target medications to different locations within the respiratory system depending on the site of disease. 3-D simulations on vibration mode shape and impedance of the nozzles using a commercial finite element method (FEM) program, ANSYS, yield resonant frequencies of pure longitudinal vibration in good agreement with the measured values. The mode shape simulation also shows that at the resonant frequency the longitudinal vibration amplitude gain at the nozzle tip for 3-horn nozzle is 8, four times that for a single-horn nozzle.

Analysis of the Contact Deformation of Tread Blocks

1992 ◽  
Vol 20 (4) ◽  
pp. 230-253 ◽  
Author(s):  
T. Akasaka ◽  
K. Kabe ◽  
M. Koishi ◽  
M. Kuwashima
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Deformation Behavior ◽  
Contact Deformation ◽  
The Finite Element Method ◽  
The Road ◽  
Loss Of Contact ◽  
Tread Rubber ◽  
Good Agreement ◽  
Rubber Block

Abstract The deformation behavior of a tire in contact with the roadway is complicated, in particular, under the traction and braking conditions. A tread rubber block in contact with the road undergoes compression and shearing forces. These forces may cause the loss of contact at the edges of the block. Theoretical analysis based on the energy method is presented on the contact deformation of a tread rubber block subjected to compressive and shearing forces. Experimental work and numerical calculation by means of the finite element method are conducted to verify the predicted results. Good agreement is obtained among these analytical, numerical, and experimental results.

scholarly journals Influence of the flexibility of beams and slabs in static response and dynamic properties

2016 ◽  
Vol 9 (6) ◽  
pp. 842-855 ◽  
Author(s):  
J. R. BUENO ◽  
◽  
D. D. LORIGGIO ◽  
Keyword(s):  
Finite Element Method ◽  
Natural Frequencies ◽  
Dynamic Properties ◽  
Vibration Modes ◽  
Linear Regime ◽  
Static Response ◽  
The Finite Element Method ◽  
Standard Code ◽  
The Relationship ◽  
Brazilian Standard

Abstract This article examines numerically the flexibility influence of support beams in static response and dynamic properties of a symmetric plate formed by massive slabs of reinforced concrete in elastic linear regime, using the Finite Element Method. In the static response the variation of bending mo-ments and displacements are evaluated, which depend on the relationship between the flexibility of the slab and the beam. The evaluation of dynamic properties is held in undamped free vibration, through which the vibration modes and the values of the natural frequencies is obtained, which are compared with the limits of the Brazilian standard code for design of concrete structures. Results show that the response may show great variation due to the change in the relationship between bending stiffness of the slabs and the beams.

Elasto-plastic analysis of a rotating model conical turbine disc

1975 ◽  
Vol 10 (3) ◽  
pp. 167-171 ◽  
Author(s):  
F Ginesu ◽  
B Picasso ◽  
P Priolo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Limit Analysis ◽  
Point Of View ◽  
Complete Analysis ◽  
The Finite Element Method ◽  
Computational Simplicity ◽  
Rotating Shell ◽  
Good Agreement ◽  
Element Method

Results on the plastic collapse behaviour of an axisymmetric rotating shell, obtained by Limit Analysis and the Finite Element Method, are in good agreement with experimental data. The Finite Element Method, though computationally rather costly, permits, however, a more complete analysis of elasto-plastic behaviour. For the present case, the Limit Analysis has the advantage of greater computational simplicity and leads to a quite satisfactory forecast of collapse speed from the engineering point of view.

Elastica of Cantilever Beam under Two Follower Forces

1997 ◽  
Vol 1 (2) ◽  
pp. 159-165 ◽  
Author(s):  
Wibisono Hartono
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cantilever Beam ◽  
Elastic Analysis ◽  
The Finite Element Method ◽  
Nonlinear Elastic Analysis ◽  
Displacement Theory ◽  
Follower Forces ◽  
Nonlinear Elastic ◽  
Good Agreement

This paper presents a nonlinear elastic analysis of cantilever beam subjected to two follower forces. Those two proportional forces are always perpendicular to the beam axis. The solution of differential equations based on the large displacement theory, known as elastica is obtained with the help of principle of elastic similarity. For comparison purpose, numerical results using the finite element method are also presented and the results show good agreement.

A Theoretical Formula for the Validity Limits of the Dipole Approximation for a Dielectric Mixture

2014 ◽  
Vol 906 ◽  
pp. 72-80
Author(s):  
Chang He Yang ◽  
Ding Long Cao ◽  
Lin Song Guo
Keyword(s):  
Finite Element Method ◽  
Numerical Solutions ◽  
Volume Fraction ◽  
Dipole Approximation ◽  
Empirical Method ◽  
Theoretical Formula ◽  
The Finite Element Method ◽  
Dielectric Mixture ◽  
Good Agreement ◽  
Dielectric Mismatch

A newly criterion for the validity limits of the dipole approximation for a dielectric mixture was presented, based on the comparison between the dipole approximation and the numerical solutions by the finite-element method (FEM). In terms of this criterion and the dipole-enhanced model, a simple theoretical formula for the validity limits was derived. This formula includes three variables: the dielectric mismatch, the volume fraction of particles and the precision. Its calculated results have a good agreement with the limits determined by the empirical method in the range of our interest, which indicates the theoretical formula is creditable. Using this formula, we can approximate the precision of the dipole approximation for an arbitrary dielectric mixture. And we found that the dipole approximation is acceptable with the precision equal to 30% when the dielectric mismatch is less than 2.3 (εi/ εe2.3) for the almost touching spheres.

Unified Solution on Skew Plate Bending with Four Edges Supported under Arbitrary Load

2011 ◽  
Vol 243-249 ◽  
pp. 5994-5998
Author(s):  
Lang Cao ◽  
Xing Jie Xing ◽  
Feng Guang Ge
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fourier Series ◽  
Boundary Conditions ◽  
Engineering Design ◽  
Plate Bending ◽  
The Finite Element Method ◽  
Arbitrary Load ◽  
Skew Plate ◽  
Good Agreement

According to the bending equation and boundary conditions of skew plate in the oblique coordinates system parallel to the edge of the plate, expanding deflection and load into form of Fourier series, the paper derives and obtains unified solution of bending problem for the four-edge-supported skew plate under arbitrary load. Programmed and calculated by mathematica language, the paper also comes with deflections and moments under the condition of any oblique angles, ratios of side length and Poisson ratios. The results of the paper is compared with those by the finite element method in the example, and they’re in good agreement with each other. The paper extends the bending theory of rectangular plate to the skew plate of any angle. The theory being reliable and the result being accurate, the research of the paper can provide reference for engineering design.

The vibration of a corrugated carbon fibre pressure vessel under external hydrostatic pressure

2000 ◽  
Vol 214 (10) ◽  
pp. 1299-1311 ◽  
Author(s):  
C T F Ross ◽  
A P F Little
Keyword(s):  
Carbon Fibre ◽  
Water Pressure ◽  
Periodic Excitation ◽  
The Finite Element Method ◽  
External Hydrostatic Pressure ◽  
Surrounding Water ◽  
Resonant Frequencies ◽  
External Water Pressure ◽  
External Water ◽  
Good Agreement

The paper presents a theoretical and an experimental investigation into the vibration of a corrugated carbon fibre cylinder in air and under external water pressure. The theoretical investigation was via the finite element method, where both the shell and the surrounding water were modelled with axisymmetric finite elements. In the case of the shell, the element allowed for orthotropicity and in the case of the water, the element was a solid element with an isoparametric cross-section. Good agreement was found between experiment and theory for both the vibration in air and the vibration under external water pressure. The results showed that as the external water pressure was increased, the resonant frequencies decreased. This appeared to agree with previous findings that a form of dynamic buckling could occur when the vibration eigenmode was the same form as the buckling eigenmode, in response to a periodic excitation force.

Dynamic stress analysis of rotating twisted and tapered blades

1980 ◽  
Vol 15 (3) ◽  
pp. 117-126 ◽  
Author(s):  
V Ramamurti ◽  
S Sreenivasamurthy
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Dynamic Stress ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Extensive Analysis ◽  
Dynamic Stress Analysis ◽  
Skew Angles ◽  
Good Agreement

In this paper the finite element method has been used to determine the stresses and deformations of pre-twisted and tapered blades. Three-dimensional, twenty-noded isoparametric elements have been used for the analysis. Extensive analysis has been done for various pre-twist angles, skew angles, breadth to length ratios, and breadth to thickness ratios of the blades. Experiments were carried out to determine the stresses for the verification of the numerical results and they were found to be in good agreement.

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