• Title/Summary/Keyword: Vibration Amplitude

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Effects of Gravity and Angular Velocity Profiles on the Dynamic Behavior of an Automatic Ball Balancer (자동볼평형장치의 동적거동에 미치는 중력과 속도파형의 영향)

  • Jung, Du-Han;Chung, Jin-Tai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.511-516
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    • 2004
  • The dynamic behavior of an automatic ball balancer (ABB) is studied considering the effects of gravity and angular velocity profiles. In this study, a physical model for an ABB installed on the Jeffcott rotor is adopted in order to investigate the effects of gravity and angular acceleration. The equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-o method. From the computed responses, the effects of gravity and angular velocity profiles on the dynamic behavior are investigated. It is found that the balancing of the rotor with ABB can be achieved regardless of gravity. It Is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.

Dynamic instability of functionally graded material plates subjected to aero-thermo-mechanical loads

  • Prakash, T.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • v.20 no.4
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    • pp.435-450
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    • 2005
  • Here, the dynamic instability characteristics of aero-thermo-mechanically stressed functionally graded plates are investigated using finite element procedure. Temperature field is assumed to be a uniform distribution over the plate surface and varied in thickness direction only. Material properties are assumed to be temperature dependent and graded in the thickness direction according to simple power law distribution. For the numerical illustrations, silicon nitride/stainless steel is considered as functionally graded material. The aerodynamic pressure is evaluated based on first-order high Mach number approximation to the linear potential flow theory. The boundaries of the instability region are obtained using the principle of Bolotin's method and are conveniently represented in the non-dimensional excitation frequency-load amplitude plane. The variation dynamic instability width is highlighted considering various parameters such as gradient index, temperature, aerodynamic and mechanical loads, thickness and aspect ratios, and boundary condition.

Non linear vibrations of stepped beam system under different boundary conditions

  • Ozkaya, E.;Tekin, A.
    • Structural Engineering and Mechanics
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    • v.27 no.3
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    • pp.333-345
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    • 2007
  • In this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Forcing and damping terms were also included in the equations. The dimensionless equations were solved for six different set of boundary conditions. A perturbation method was applied to the equations of motions. The first terms of the perturbation series lead to the linear problem. Natural frequencies for the linear problem were calculated exactly for different boundary conditions. Second order non-linear terms of the perturbation series behave as corrections to the linear problem. Amplitude and phase modulation equations were obtained. Non-linear free and forced vibrations were investigated in detail. The effects of the position and magnitude of the step, as well as effects of different boundary conditions on the vibrations, were determined.

An iterative approach for time-domain flutter analysis of bridges based on restart technique

  • Zhang, Wen-ming;Qian, Kai-rui;Xie, Lian;Ge, Yao-jun
    • Wind and Structures
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    • v.28 no.3
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    • pp.171-180
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    • 2019
  • This paper presents a restart iterative approach for time-domain flutter analysis of long-span bridges using the commercial FE package ANSYS. This approach utilizes the recursive formats of impulse-response-function expressions for bridge's aeroelastic forces. Nonlinear dynamic equilibrium equations are iteratively solved by using the restart technique in ANSYS, which enable the equilibrium state of system to get back to last moment absolutely during iterations. The condition for the onset of flutter instability becomes that, at a certain wind velocity, the amplitude of vibration is invariant with time. A long-span suspension bridge was taken as a numerical example to verify the applicability and accuracy of the proposed method by comparing calculated results with wind tunnel tests. The proposed method enables the bridge designers and engineering practitioners to carry out time-domain flutter analysis of bridges in commercial FE package ANSYS.

Fluidelastic instability of a curved tube array in single phase cross flow

  • Kang-Hee Lee;Heung-Seok Kang;Du-Ho Hong;Jong-In Kim
    • Nuclear Engineering and Technology
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    • v.55 no.3
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    • pp.1118-1124
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    • 2023
  • Experimental study on the fluidelastic instability (FEI) of a curved tube bundle in single phase downward cross flow is investigated for the design qualification and analysis input preparation of helical coiled steam generator tubing. A 6×9 normal square curved tube array with equal and different vertical/horizontal pitch-to-diameter ratio was under-tested up to 6 m/s in term of gap flow velocity to measure the critical velocity for FEI. The critical velocity for FEI was measured at the turning point from the vibration amplitude plot along the gap flow velocity. Our test results were compared with straight tube results and published data in the design guideline. The applicability of the current design guidelines to a curved tube bundle is also assessed. We found that introducing frequency difference in a curved tube array increases the critical velocity for fluidelastic instability.

Elastodynamic Control of Industrial Robotic Manipulators Using Piezoelectric Materials (압전재료를 이용한 산업용 로보트 매니퓰레이터의 동탄성 제어)

  • Choi, S.B.;Cheong, C.C.;Choi, I.S.;Lee, T.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.4
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    • pp.54-63
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    • 1993
  • This paper presents the dynamic modeling and control methodology to arrest structural deflections of industrial robotic manipulators featuring elastic members retrofitted with surface bonded pizoelectric actuators and sensors. The cynamic modeling is accomplished by employing a variational theorem, prior to developing a finite element formulation. This finite element formulation accounts for both original robot member elements and also bonded piezoelectric material elements. The governing equation of motion is then modified by condensing the electric potential vectors and subsequently two different negative velocity feedback controllers are established; a constant-gain feedback controller and a constant- amplitude feedback controller. By adopting a Model P50 articulating industrial robot manufactured by Gerneral Electric Company, conputer simulations are underlaken in order to demonstrate superior performance characteristics to be accrued from this proposed methodology such as smaller deflections at the end-effector.

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Dynamic behavior of boring bar with continuous system analysis (연속계 해석에 의한 보오링 바의 동적 거동에 관한 연구)

  • Kim, Jeong-Suk;Kang, Myeong-Chang;Park, Soo-Kil
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.4
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    • pp.38-46
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    • 1994
  • The vibration amplitude of boring bar is generally large at the tool tip, because it has the high length-diameter(L/D) ratio. A new dynamic cutting force model is presented by considering the change of shear angle under dynamic cutting. The boring bar is modelled as a cantilever with dynamic force acting at the tool end point. Based on this realistic continuous system model, the equation of motion of borring bar is solved by numerical computations. A good agreement is found between the proposed model and the experimental results.

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Wave propagation in a nonlocal prestressed piezoelectric polygonal plate with non-homogeneity and hygroscopic effect

  • Rajendran Selvamani;Hepzibah Christinal;Farzad Ebrahimi
    • Advances in materials Research
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    • v.12 no.4
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    • pp.309-330
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    • 2023
  • The humid thermal vibration characteristics of a nonhomogeneous thermopiezoelectric nonlocal plate of polygonal shape are addressed in the purview of generalized nonlocal thermoelasticity. The plate is initially stressed, and the three-dimensional linear elasticity equations are taken to form motion equations. The problem is solved using the Fourier expansion collocation method along the irregular boundary conditions. The numerical results of physical variables have been discussed for the triangle, square, pentagon, and hexagon shapes of the plates and are given as dispersion curves. The amplitude of non-dimensional frequencies is tabulated for the longitudinal and flexural symmetric modes of the thermopiezoelectric plate via moisture and thermal constants. Also, a comparison of numerical results is made with existing literature, and good agreement is reached.

The Effect of Joint Space Pumping Treatment in Patients with Reducible Disc Displacement Accompanied by TMJ Sound and Pain (악관절잡음 및 동통을 동반한 정복성 관절원판 변위환자에 대한 관절강 Pumping 효과)

  • Kim, Hyeon-Cheol;Choi, Jong-Hoon;Park, Hye-Suk;Kim, Chong-Youl
    • Journal of Oral Medicine and Pain
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    • v.24 no.1
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    • pp.9-24
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    • 1999
  • Pumping into the upper joint cavity of the TMJ was done on patients who had reducible disc displacement with pain. This article discusses the change in TMJ sounds before and after the Pumping treatment. 20subjects(mean age of $32.1{\pm}10.2yr$)were selected among those who visited the department of Oral Medicine of Yonsei University for the treatment of craniomandibular dysfunctions. Through a thorough history taking, clinical exam and X-ray taking these subjects were diagnosed as reducible disc displacement patients, and they were subdivided into two groups as acute and chronic according to the time the TMJ sound was made. Sonopak was used to measure the TMJ sound before, right after and one-week after the Pumping treatment. VAS was used to measure the degree of subjective TMJ complaints(sounds and pain) before and one-week after the Pumping treatment. Vibration related items included total integral, high integral, low integral, ratio of high integral to low integral, peak amplitude, peak frequency and median frquency. 1. It was not statistically significant between the acute and chronic groups before the treatment. However, total integral, high integral, low integral, peak amplitude, peak frequency, median frequency showed to be greater in the chronic group. 2. In all the subjects, just after the Pumping treatment was done, total integral, high and low integral, peak amplitude and peak frequency significantly decreased (p<0.05). Even after one week, low integral, peak frequency and median frequency significantly decreased (p<0,05), and the TMJ sound diminished accordingly. 3. Comparing the two groups(before and right after the Pumping treatment), there was the following difference ; in the acute group, high integral, high amplitude, high frequency and median frequency significantly decreased(p<0.05). In the chronic group, total integral, high integral, low integral, ratio, peak amplitude and peak frequency significantly decreased(p<0,05). It was not statistically significant between the acute and chronic group. 4. Comparing the two groups(right after and one week after the Pumping treatment), there was the following difference : in the acute group, high integral, high amplitude, high frequency and median frequency significantly decreased(p<0.05), In the chronic group, low integral significantly decreased(p<0.05). However, although it was not statistically significant, after one week, there was an increase in total integral, ratio, peak amplitude and peak frequency compared to right after the treatment group. 5. In the VAS of before and one week after the Pumping treatment of the TMJ pain and sound, the TMJ pain significantly decreased(p<0.05) in both the acute and chronic group. However, it was not statistically significant between the two groups. There was a statistically significant decrease(p<0.05) in the TMJ sound in the acute group after one week of Pumping treatment, but no change was notable in the chronic group and it was not statistically significant between the two groups. From the above results, we can conclude that Pumping into the upper joint cavity of patients having reducible disc displacement is effective in reducing clicking and pain. Therefore, it can be applied in diverse clinical fields.

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A Study on the Design of Tool Horn for Cutting Converged with Theoretical Method and FEA (이론적 방법과 유한요소해석이 융합된 커팅용 공구 혼의 설계에 관한 연구)

  • Lee, Han-Chang;Jeong, Jin-Hyuk;Park, Chung-Woo;Oh, Myung-Seok;Park, Myung-Kyu;Lee, Bong-Gu;Kim, Chang-Hwan
    • Journal of the Korea Convergence Society
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    • v.9 no.6
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    • pp.175-182
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    • 2018
  • In this study, the theoretical method and the finite element analysis were designed in parallel to fabricate basic research data on the production of tool horn for cutting machine with ultrasonic vibration energy. In order to perform high-performance ultrasonic cutting, it is necessary to vibrate only with longitudinal vibration instead of transverse vibration. In order to efficiently transmit the mechanical vibration energy, the maximum amplitude should be generated at the output portion. Therefore, the tool horn must be designed so that the excitation frequency of the oscillator and the natural frequency of the tool horn are the same. In order to design the resonance of the tool horn, there are a theoretical approach using the one-dimensional wave equation and a method of reflecting the finite element analysis result to the design model. In this study, the approximate dimensions of the tool horn are first determined through the one- Based on the results of the finite element analysis, the optimal model was selected and reflected in the final shape of the tool horn. We will use this information as the basic data of actual tool horn for cutting, and will compare the production and experimental data with the contents of this research.