• Title/Summary/Keyword: curved beams

검색결과 159건 처리시간 0.024초

미분구적법(DQM)을 이용한 곡선보의 내평면 비신장 및 신장 진동해석 (In-Plane Inextensional and Extensional Vibration Analysis of Curved Beams Using DQM)

  • 강기준
    • 한국산학기술학회논문지
    • /
    • 제16권11호
    • /
    • pp.8064-8073
    • /
    • 2015
  • 편미분방정식 해를 위한 효율적인 방법 중의 하나는 미분구적법이다. 이방법은 복잡한 구조 및 하중에 따른 컴퓨터 용량의 과도한 사용뿐만 아니라, 컴퓨터 프로그래밍의 복합알고리즘 해석상의 어려움 피하기 위해 많은 분야에 적용되어왔다. 아크축의 비신장 및 신장을 고려한 곡선보의 내평면 진동을, 미분구적법 (DQM)을 이용하여 해석하였다. 다양한 경계조건과 열림각에 따른 진동수을 계산하였다. DQM의 해석결과는, 비교 가능한 정확한 수학적 해법을 다른 수치해석결과와 비교하였다. DQM은 적은 격자점을 사용하고도 정확한 해석을 보여주었고, 다양한 변화에 따른 새로운 결과를 제시하였다.

Progressive Multi-Leaf Spring의 비선형 강성해석 법 (An Efficient Method for Calculating Nonlinear Stiffness of the Progressive Multi-Leaf Spring)

  • 김성수;문원규;유영일
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2000년도 추계학술대회논문집A
    • /
    • pp.413-419
    • /
    • 2000
  • An efficient method for calculating the nonlinear stiffness of the Progressive Multi-Leaf Spring is developed and evaluated. It utilizes the interaction between the main and help spring that induces the nonlinearity. The main and the help springs are modeled as multi-leaf cantilever beams, and, then, they are integrated as one by connecting the two models for each side of the Progressive Multi-Leaf Spring at the center-bolt. The results from the developed model are evaluated by use of the commercial FEA program, ABAQUS. The nonlinear spring coefficients calculated by FEM analysis yield the numbers very close to the numbers calculated for the spring coefficients by used of the developed method. From the comparative evaluations, the developed method is accurate enough and very efficient in calculation time for evaluating the nonlinear spring property of the Progressive Multi-Leaf Spring.

  • PDF

불규칙 이동분포하중을 받는 차량 타이어의 구조 진동소음 제어를 위한 음향방사 해석 (Sound Radiation Analysis for Structure Vibration Noise Control of Vehicle Tire under The Action of Random Moving Line Forces)

  • 김병삼
    • 한국음향학회:학술대회논문집
    • /
    • 한국음향학회 2004년도 추계학술발표대회논문집 제23권 2호
    • /
    • pp.221-224
    • /
    • 2004
  • A theoretical model has been studied to describe the sound radiation analysis for structure vibration noise of vehicle tires under the action of random moving line forces. When a tire is analyzed, it had been modeled as curved beams with distributed springs and dash pots that represent the radial , tangential stiffness and damping of tire, respectively. The reaction due to fluid loading on the vibratory response of the curved beam is taken into account. The curved beam is assumed to occupy the plane y=0 and to be axially infinite. The curved beam material and elastic foundation are assumed to be lossless Bernoulli-Euler beam theory including a tension force, damping coefficient and stiffness of foundation will be employed. The expression for sound power is integrated numerically and the results examined as a function of Mach number, wave-number ratio and stiffness factor. The experimental investigation for structure vibration noise of vehicle tire under the action of random moving line forces has been made. Based on the Spatial Transformation of Sound Field techniques, the sound power and sound radiation are measured. Results strongly suggest that operation condition in the tire material properties and design factors of the tire govern the sound power and sound radiation characteristics.

  • PDF

Elastic solution of a curved beam made of functionally graded materials with different cross sections

  • Arefi, Mohammad
    • Steel and Composite Structures
    • /
    • 제18권3호
    • /
    • pp.659-672
    • /
    • 2015
  • This research deals with the analytical solution of a curved beam with different shapes made of functionally graded materials (FGM's). It was assumed that modulus of elasticity is graded along the thickness direction of curved beam based on a power function. The beam was loaded under pure bending. Using the linear theory of elasticity, the general relation for radial distribution of radial and circumferential stresses of arbitrary cross section was derived. The effect of nonhomogeneity was considered on the radial distribution of circumferential stress. This behavior can be investigated for positive and negative values of nonhomogeneity index. The novelty of this study is application of the obtained results for different combination of material properties and cross sections. Achieved results indicate that employing different nonhomogeneity index and selection of various types of cross sections (rectangular, triangular or circular) can control the distribution of radial and circumferential stresses as designer want and propose new solutions by these options. Increasing the nonhomogeneity index for positive or negative values of nonhomogeneity index and for various cross sections presents different behaviors along the thickness direction. In order to validate the present research, the results of this research can be compared with previous result for reachable cross sections and non homogeneity index.

실동이력에 기초한 곡선거더교의 피로균열 특성 및 분석 (Characteristic and Analysis of Fatigue Crack for Curved Girder Bridge based on the Stress Range Histerisis)

  • 권순철;경갑수;김대용;이해성
    • 대한토목학회논문집
    • /
    • 제28권1A호
    • /
    • pp.1-13
    • /
    • 2008
  • 곡선거더교의 복부는 교축방향의 면내응력과 면외 휨응력을 동시에 받는 구조이므로, 직선교에 비하여 플랜지와 복부의 필릿용접이음부에서의 발생응력이 상당히 크며, 또 바닥틀이나 브레이싱을 주거더에 연결시켜주는 거셋플레이트는 구조적으로 더욱 취약한 구조가 된다. 본 연구에서는 23년간 공용된 곡선거더교에서 발생된 피로균열의 발생원인을 조사하기 위하여 실제교통 흐름 하에서의 용접부에서의 응력특성을 파악하기 위하여 일련의 현장측정을 실시하였다. 이들 현장측정으로부터 여러 가지 타입에 대한 피로균열 원인을 분석하였고, 또한 주요 균열에 대한 피로수명을 평가하였다. 또한 곡선거더교 용접이음부의 구조거동 특성을 조사하기 위하여 유한요소해석을 실시하고 이들 결과를 현장측정결과와 비교분석하였다.

Analytical solution for analyzing initial curvature effect on vibrational behavior of PM beams integrated with FGP layers based on trigonometric theories

  • Mousavi, S. Behnam;Amir, Saeed;Jafari, Akbar;Arshid, Ehsan
    • Advances in nano research
    • /
    • 제10권3호
    • /
    • pp.235-251
    • /
    • 2021
  • In the current study, the free vibrational behavior of a Porous Micro (PM) beam which is integrated with Functionally Graded Piezoelectric (FGP) layers with initial curvature is considered based on the two trigonometric shear deformation theories namely SSDBT and Tan-SDBT. The structure's mechanical properties are varied through its thicknesses following the given functions. The curved microbeam is exposed to electro-mechanical preload and also is rested on a Pasternak type of elastic foundation. Hamilton's principle is used to extract the motion equations and the MCST is used to capture the size effect. Navier's solution method is selected as an analytical method to solve the motion equations for a simply supported ends case and by validating the results for a simpler state with previously published works, effects of different important parameters on the behavior of the structure are considered. It is found that although increasing the porosity reduces the natural frequency, but enhancing the volume fraction of CNTs increasing it. Also, by increasing the central angle of the curved beam the vibrations of the structure increases. Designing and manufacturing more efficient smart structures such as sensors and actuators are of the aims of this study.

Optimum design of parabolic and circular arches with varying cross section

  • Uzman, Umit;Daloglu, Ayse;Saka, M. Polat
    • Structural Engineering and Mechanics
    • /
    • 제8권5호
    • /
    • pp.465-476
    • /
    • 1999
  • A structural optimization process is presented for arches with varying cross-section. The optimality criteria method is used to develop a recursive relationship for the design variables considering displacement, stresses and minimum depth constraints. The depth at the crown and at the support are taken as design variables first. Then the approach is extended by taking the depth values of each joint as design variable. The curved beam element of constant cross section is used to model the parabolic and circular arches with varying cross section. A number of design examples are presented to demonstrate the application of the method.

곡률이 변하는 박벽 아치의 3차원 자유진동 및 좌굴해석 (Spatial Free Vibration and Stability Analysis of Thin-Walled Arches with Variable Curvature)

  • 서광진;민병철;김문영
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
    • /
    • pp.169-176
    • /
    • 1999
  • An improved formulation for spatial stability md free vibration of thin-walled curved beams with variable curvature and non-symmetric cross sections are presented based on the displacement field considering the second order terms of finite semitangential rotations. By introducing Vlasov's assumptions, the total potential energy is derived from the principle of linearized virtual work for a continuum. In this formulation, all displacement parameters and the warping function are defined at the centroid axis so that the coupled terms of bending and torsion are added to the elastic strain energy. Also, the potential energy due to initial stress resultants is consistently derived corresponding to the semitangential rotation and moment. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. In order to illustrate the accuracy and practical usefulness of this study, . numerical solutions for free vibration of arches are presented and compared with resells of other researchers and solutions analyzed by the ABAQUS's shell element.

  • PDF

?과 회전관성을 고려한 수평 곡선보의 자유진동 해석 (Free Vibration Analysis of horizontally Curved Beams considering Warping and Rotatory Inertia)

  • 이병구;박광규;오상진;진태기
    • 한국전산구조공학회논문집
    • /
    • 제14권1호
    • /
    • pp.35-42
    • /
    • 2001
  • 본 연구는 변화곡률 수평 곡선보의 면외 자유진동에 관한 연구이다. 뒴과 회전관성을 고려한 변화곡률 수평 곡선보의 자유진동을 지배하는 상미분방정식이 유도되었고, 이 지배미분방정식을 수치해석하여 곡선보의 고유진동수를 산출하였다. 지배미분방정식을 수치적분하기 위하여 Runge-Kutta method를 이용하였고, 고유진동수를 산출하기 위하여 Regula-Falsi method와 결합한 행렬값 탐사법을 이용하였다. 본 연구의 이론적 타당성을 검증하기 위하여 타문헌의 고유진동수와 비교하였고, 실험실 규모의 모형실험을 실시하여 이론값과 실험값의 고유진동수를 비교하였다. 수치해석의 결과로 무차원 재변수들의 변화에 따른 무차원 고유진동수를 제 3모드까지 산출하였고, 그 결과들을 고찰하였다. 본 연구의 결과는 곡선형 교량 등과 같이 곡선부재로 이루어진 구조물의 설계시에 유용하게 이용될 수 있을 것으로 기대된다.

  • PDF