• 제목/요약/키워드: Longitudinal vibration

검색결과 344건 처리시간 0.034초

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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    • 제12권4호
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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.

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

  • 이한창;정진혁;박충우;오명석;박명규;이봉구;김창환
    • 한국융합학회논문지
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    • 제9권6호
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    • pp.175-182
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    • 2018
  • 본 연구에서는 초음파 진동에너지가 융합된 커팅기용 공구 혼 제작에 대한 기초 연구 자료를 제작하고자 이론적방법과 유한요소해석을 병행하여 설계하였다. 고 성능의 초음파 절단을 진행하기 위해서는 횡진동이 아닌 종진동으로만 진동해야 하며, 기계적 진동에너지를 효율적으로 전달하기 위해 출력부에 최대진폭이 발생해야 한다. 따라서 공구 혼은 발진기의 가진 주파수와 공구 혼의 고유주파수가 동일하게 설계되어야만 한다. 공구 혼을 공진설계하기 위해서는 1차원 파동방정식을 이용한 이론적 접근법과, 유한요소 해석결과를 설계모델에 반영하는 방법이 있는데, 본 연구에서는 최초에 공구 혼의 대략적인 치수를 1차원 파동방정식을 통해 결정하고, 유한요소 해석 결과를 바탕으로 최적 모델을 선정하여 공구 혼의 최종 형상에 반영하였다. 이와 같은 내용을 실제 커팅용 공구 혼의 기초자료로 활용하고자 하며, 추후 제작 및 실험 데이터를 본 연구내용과 비교할 예정이다.

급곡선 주행 안정화를 위한 주행방향 크리피지 특성 최적화 연구 (Optimization of Characteristics of Longitudinal Creepage for Running Stability on Sharp Curved Track)

  • 심경석;박태원;이진희;김남포
    • 한국철도학회논문집
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    • 제17권1호
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    • pp.19-27
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    • 2014
  • 도시철도는 도심내를 운행하는 철도차량으로써, 도시철도 이용이 활발해지고 운행 계획에 따라 급곡선 구간의 운용이 필요할 것으로 예상된다. 하지만 이러한 급곡선 선로에서는 철도차량의 주행 안정성이 현저히 감소하며 크리피지가 증가하게 된다. 크리피지는 차륜이 레일 위를 구를 때 접촉면에서의 속도차에 의한 미끄러짐 량으로 차륜 마모, 진동 등의 원인이 된다. 따라서 크리피지를 줄이는 것은 주행 안정성 확보 및 환경 문제, 비용 저감에 도움을 줄 수 있다. 본 논문에서는 급곡선 선로 주행에 의한 주행방향 크리피지 발생 정도를 전동차를 모델링하여 분석하고 나아가서 급곡선 선로 주행 시 발생할 수 있는 문제점을 최소화하기 위한 대차 특성을 최적화한다.

Dynamics of silicon nanobeams with axial motion subjected to transverse and longitudinal loads considering nonlocal and surface effects

  • Shen, J.P.;Li, C.;Fan, X.L.;Jung, C.M.
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.105-113
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    • 2017
  • A microstructure-dependent dynamic model for silicon nanobeams with axial motion is developed by considering the effects of nonlocal elasticity and surface energy. The nanobeam is considered to subject to both transverse and longitudinal loads arising from nanostructural surface effect and all positive directions of physical quantities are defined clearly prior to modeling so as to clarify the confusions of sign in governing equations of previous work. The nonlocal and surface effects are taken into consideration in the dynamic behaviors of silicon nanobeams with axial motion including circular natural frequency, vibration mode, transverse displacement and critical speed. Various supporting conditions are presented to investigate the circular frequencies by a numerical method and the effects of many variables such as nonlocal nanoscale, axial velocity and external loads on non-dimensional circular frequencies are addressed. It is found that both nonlocal and surface effects play remarkable roles on the dynamics of nanobeams with axial motion and cause the frequencies and critical speed to decrease compared with the classical continuum results. The comparisons of the non-dimensional calculation values by present and previous studies validate the correctness of the present work. Additionally, numerical examples for silicon nanobeams with axial motion are addressed to show the nonlocal and surface effects on circular frequencies intuitively. Results obtained in this paper are helpful for the design and optimization of nanobeam-like microstructures based sensors and oscillators at nanoscale with desired dynamic mechanical properties.

향판용(響板用) 관행수종(慣行樹種)과 대체가능수종(代替可能樹種)의 자유진동적(自由振動的) 성질(性質)에 관한 연구(硏究) (Studies on The Free Vibrational Properties of Traditional and Replaceable Species for Sounding Board)

  • 강욱;정희석
    • Journal of the Korean Wood Science and Technology
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    • 제16권3호
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    • pp.48-64
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    • 1988
  • This study was carried out to investigate the free vibrational properties of traditional and replaceable species for sounding board, using piezoelectrical accelerometer and signal analyzer. In the study, the frequency equations of free-free beam carrying a concentrated mass in the transverse vibration and of free-mass beam in the longitudinal vibration were used. The results obtained were as follows. 1. Average values of dynamic modulus of rigidity of Korean commercial species measured were as follows. Paulownia tomatosa (Thunb.) Steudel: $5.590\times10^9\;dyne/cm^2$ Tilia amurensis Rupr.: $5.414\times10^9\;dyne/cm^2$ Macckia amurensis Rupr.: $10.044\times10^9\;dyne/cm^2$ Fraxinus mandshurica Rupr.: $8.876\times10^9\;dyne/cm^2$ Ulmus davidiana var.japonica Nakai: $8.677\times10^9\;dyne/cm^2$ Pinus rigida Miller: $6.33\times10^9\;dyne/cm^2$ Fraxinus rhynchophylla Hance: $4.666\times10^9\;dyne/cm^2$ 2. The ratio of dynamic transverse Young's modulus to dynamic modulus of rigidity, $E_T/G_{LT}$, was 24.922 for Fraxinus rhynchophylla Hance, which was the highest, 7.317 for Paulownia tomentosa (Thunb.) Steudel, which was the lowest among Korean commercial species measured. 3. The value of longitudinal dynamic Young's modulus was about 3.7% and 19.8%, respectively, higher than those of transverse dynamic and static Young's modulus. The value of transverse dynamic Young's modulus was about 15.5% higher than that of static Young's modulus. 4. Predicted value of MOR in terms of correlation coefficient by transverse dynamic Young's modulus was slightly higher than that of static Young's modulus, but no significance was found out. 5. Transverse dynamic Youne's modulus was $(2.002\pm0.288)\times10^{11}\;dyne/cm^2$ for Fraxinus mandshurlca Rupr., which was the highest, $(0.601\pm0.100)\times10^{11}\;dyne/cm^2$ for Paulownia tomentosa (Thunb.) Steudel, which was the lowest among Korean commercial species measured. The sound velocity of sitka spruce was 5,685 m/sec, which was the highest. 6. Internal friction of Paulownia tomentosa (Thunb.) Steudel was shown the lowest value among Korean commercial species, $(8.795\pm1.795)\times10^{-3}$, but was higher than that of sitka spruce, $(7.331\pm0.991)\times10^{-3}$. Internal friction was shown negative correlation with density and dynamic Young's modulus, respectively. 7. K value was affected largely by internal friction and was the highest, $2.225\times10^8$ for Paulownia tomentosa (Thunb.) Steudel and was the lowest, $0.550\times10^8$ for Fraxinus rhynchophylla Hance. K value of Paulownia tomentosa (Thunb.) Steudel was higher than that of sitka spruce and K values of melapi and cottonwood, which have been considered to be replaceable species with sitka spruce in the piano industry, were lower than those of Paulownia tomentosa (Thunb.) Steudel and mill amurensis Rupr.

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단면감소에 따른 사장케이블의 2-자유도 근사모델의 고유진동수 분포 (Distribution of Natural Frequency of 2-DOF Approximate Model of Stay Cable to Reduction of Area)

  • 조양희;이현철
    • 한국구조물진단유지관리공학회 논문집
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    • 제18권6호
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    • pp.147-154
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    • 2014
  • 사장교 케이블의 손상은 사장교 전체의 안전에 가장 큰 영향을 주는 요인이 되므로 케이블의 손상에 대한 유지관리를 필수적으로 해야한다. 이러한 유지관리의 대표적인 방법으로 케이블의 고유진동수변화을 추적하는 방법이 있다. 지금까지 케이블의 고유진동수는 진동법에 의해 횡방향 진동으로 추정하여 왔으며 시스템인식기법은 반복법에 의한 민감도방정식으로 축방향강성을 추정하나 새그의 영향으로 종방향운동에 대한 고유진동수의 분포에 대한 연구가 필요하다. 이 연구에서는 종방향운동에 의한 고유진동수를 이용하여 손상을 추정함으로써, 종방향운동의 신뢰성을 향상시키는 새로운 방법을 제안하였다. 이 방법의 적용결과를 근사해인 유한요소해석결과와 비교하여 유사한 결과를 얻음으로써 제안된 방법의 신뢰성을 검증하였다. 따라서, 케이블손상과 고유진동수와의 관계를 분석한 결과는 손상률이 증가할수록 고유진동수는 낮게 나타났다. 따라서 케이블의 실측 고유진동수를 알 때 케이블손상과 고유진동수와의 관계식을 통해 케이블의 손상정도를 추정할 수 있으므로 케이블의 효율적인 유지관리가 가능하게 된다.

상용차량의 브레이크 시스템과 차량 시스템 주파수 분석을 통한 브레이크 저더의 실험적 고찰 (An Experimental Study on Brake Judder via the Frequency Analysis of the Brake System and Vehicle System of a Commercial Vehicle)

  • 문일동;김종대;오재윤
    • 대한기계학회논문집A
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    • 제31권12호
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    • pp.1131-1138
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    • 2007
  • This paper studies experimentally on the building-up process for the amplitude of a commercial truck vibration induced by brake judder. A front axle drum equipped with a drum brake system is utilized for this experiment. A brake dynamo test, a real vehicle ride test and a real vehicle braking test are performed for the analysis of brake judder. The brake dynamo test measures judder by applying brake chamber pressures of 1, 2 and 3 bar at initial brake pad temperatures of $100^{\circ}C$ and $150^{\circ}C$. In order to assess the vertical acceleration at the front axle, the real vehicle ride test on a straight test road with velocities of 20, 40, 60 and 80 km/h is performed. The real vehicle braking test is carried out at the deceleration rate of 0.2g from a velocity of 90km/h for evaluating the vertical, lateral and longitudinal accelerations both at the front axle and at the cab floor under the driver's seat. The magnitudes and frequencies of the measured peak accelerations from the brake dynamo test, the real vehicle ride test and the real vehicle braking test are comparatively analyzed. This paper shows that the vibration produced by brake judder is built up due to the brake system's peak acceleration frequency being close to the vehicle ride mode's frequency.

압전소자를 이용한 볼트토크 및 크랙의 정량적평가에 관한 연구 (Quantitative Assessment of the Fastening Condition and the Crack Size with Using Piezoceramic(PZT) Sensors)

  • 홍동표;홍용;왕고평;김병진;김영문
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.603-606
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    • 2006
  • We present a study on the development of a practical and quantitative technique for the assessment of the structural health condition with using piezoceramic(PZT) sensors. The electro-impedance-based technique with the PZT patches is very sensitive for evaluation of the incipient and small damage in a high frequency range, and however the commonly traditional modal analysis method is effective only for considerably larger damages in low frequency range. The paper presents the technique in detecting and characterizing real-time damage on the specimen that is an aluminum plate fastened with bolts and nuts by different torques and as well a plate with a crack. By using the special arrangement of the PZT sensors, the required longitudinal wave is generated through the specimen. A large number of experiments are conducted and the different conditions of the specimens, i.e. the location and extent of loosening bolts, and the plate with a crack are simulated. respectively. Since fixing and loosening the loosened bolt is controlled by a torque wrench, we can control exactly the experiment of the different torques. Compared with the simulated healthy condition, we can find whether or not there is a damage in the specimen with using an impedance analyzer with the PZT sensors. Several indices are discussed and used for assessing the different simulated damages. As for the location of bolt loosening, the RMSD is found to be the most appropriate index for numerical assessment and as well the RMSD shows strongly linear relationship for assessing the extent of the bolt loosening, and the frequency peak shift ${\Delta}F$ is used to assess the cracked plate. The possibility of repeatability of the pristine condition signatures is also presented and the appropriate frequency range and interval are uniquely selected through large numbers of experiments.

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Flutter analysis of Stonecutters Bridge

  • Hui, Michael C.H.;Ding, Q.S.;Xu, Y.L.
    • Wind and Structures
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    • 제9권2호
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    • pp.125-146
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    • 2006
  • Stonecutters Bridge of Hong Kong is a cable-stayed bridge with two single-column pylons each 298 m high and an aerodynamic twin deck. The total length of the bridge is 1596 m with a main span of 1018 m. The top 118 m of the tower will comprise structural steel and concrete composite while the bottom part will be of reinforced concrete. The bridge deck at the central span will be of steel whilst the side spans will be of concrete. Stonecutters Bridge has adopted a twin-girder deck design with a wide clear separation of 14.3 m between the two longitudinal girders. Although a number of studies have been conducted to investigate the aerodynamic performance of twin-girder deck, the actual real life application of this type of deck is extremely limited. This therefore triggered the need for conducting the present studies, the main objective of which is to investigate the performance of Stonecutters Bridge against flutter at its in-service stage as well as during construction. Based on the flutter derivatives obtained from the 1:80 scale rigid section model experiment, flutter analysis was carried out using 3-D finite element based single parameter searching method developed by the second author of this paper. A total of 6 finite element models of the bridge covering the in-service stage as well as 5 construction stages were established. The dynamic characteristics of the bridge associated with these stages were computed and applied in the analyses. Apart from the critical wind speeds for the onset of flutter, the dominant modes of vibration participating in the flutter vibration were also identified. The results indicate that the bridge will be stable against flutter at its in-service stage as well as during construction at wind speeds much higher than the verification wind speed of 95 m/s (1-minute mean).

3축 유압 피로 시뮬레이터의 커플링에 대한 역기구학적 해석 (Inverse Kinematic Analysis for a three-axis Hydraulic Fatigue Simulator Coupling)

  • 김진완
    • 항공우주시스템공학회지
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    • 제14권1호
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    • pp.16-20
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    • 2020
  • 차량이 주행 중에 그리고 항공기가 활주로에 착륙하는 순간과 활주 중에 발생하는 피로는 착륙장치, 기체와 차량의 현가장치 등에 수명 주기와 밀접한 관련이 있다. 휠에 작용하는 하중들은 종축 힘, 횡력, 수직력과 제동력이다. 차량의 동특성과 내구성을 연구하기 위해 본 논문의 시뮬레이터는 시험실에서 실제 노면 형상을 재현에 사용된다. 그러므로 제품 개발 시간과 비용을 절감할 수 있다. 하드웨어적으로 유압 피로 시뮬레이터 구조의 중요한 요소는 각 축을 분리하고 여러 하중과 진동을 견뎌내는 것이다. 본 논문의 역기구학적 해석 방법은 Dummy wheel 중심에서 축 방향으로 최대 동작 변위를 준 후 커플링에 의한 유압 서보 작동기의 작동 크기를 도출한다. 해석의 결과는 실제 노면 형상을 정확하게 재현하기 위해 축 간의 커플링이 미약함을 확인하는 것이다.