• 제목/요약/키워드: elastic displacement

검색결과 1,041건 처리시간 0.03초

Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
    • /
    • 제9권2호
    • /
    • pp.127-143
    • /
    • 2012
  • The present paper deals with the nonlinear analysis of the functionally graded piezoelectric (FGP) annular plate with two smart layers as sensor and actuator. The normal pressure is applied on the plate. The geometric nonlinearity is considered in the strain-displacement equations based on Von-Karman assumption. The problem is symmetric due to symmetric loading, boundary conditions and material properties. The radial and transverse displacements are supposed as two dominant components of displacement. The constitutive equations are derived for two sections of the plate, individually. Total energy of the system is evaluated for elastic solid and piezoelectric sections in terms of two components of displacement and electric potential. The response of the system can be obtained using minimization of the energy of system with respect to amplitude of displacements and electric potential. The distribution of all material properties is considered as power function along the thickness direction. Displacement-load and electric potential-load curves verify the nonlinearity nature of the problem. The response of the linear analysis is investigated and compared with those results obtained using the nonlinear analysis. This comparison justifies the necessity of a nonlinear analysis. The distribution of the displacements and electric potential in terms of non homogenous index indicates that these curves converge for small value of piezoelectric thickness with respect to elastic solid thickness.

Mechanical properties of reinforced-concrete rocking columns based on damage resistance

  • Zhu, Chunyang;Cui, Yanqing;Sun, Li;Du, Shiwei;Wang, Xinhui;Yu, Haochuan
    • Structural Engineering and Mechanics
    • /
    • 제80권6호
    • /
    • pp.737-747
    • /
    • 2021
  • The objective of seismic resilience is to maintain or rapidly restore the function of a building after an earthquake. An efficient tilt mechanism at the member level is crucial for the restoration of the main structure function; however, the damage resistance of the members should be the main focus. In this study, through a comparison with the classical Flamant theory of local loading in the elastic half-space, an elastomechanical solution for the axial-stress distribution of a reinforced-concrete (RC) rocking column was derived. Furthermore, assuming that the lateral displacement of the rocking column is determined by the contact surface rotation angle of the column end and bending and shear deformation of the column body, the load-lateral displacement mechanical model of the RC rocking column was established and validated through a comparison with finite-element simulation results. The axial-compression ratio and column-end strength were analyzed, and the results indicated that on the premise of column damage resistance, simply increasing the axial-compression ratio increases the lateral loading capacity of the column but is ineffective for improving the lateral-displacement capacity. The lateral loading and displacement of the column are significantly improved as the strength of the column end material increases. Therefore, it is feasible to improve the working performance of RC rocking columns via local reinforcement of the column end.

나노압입공정 해석에서 재료의 탄소성 특성 도출을 위한 대표변형률의 결정과 Dao의 Reverse 해석의 향상 (Improvement of Dao's Reverse Analysis and Determination of Representative Strain for Extracting Elastic-Plastic Properties of Materials in Analysis of Nanoindentation)

  • 이정민;이찬주;김병민
    • 대한기계학회논문집A
    • /
    • 제32권2호
    • /
    • pp.105-118
    • /
    • 2008
  • The newly developed analysis method for nanoindentation load-displacement curves are focused on not only obtaining elastic modulus and hardness values but also other mechanical properties, such as yield strength and strain hardening properties. Dao et al. developed a forward and reverse algorithm to extract the elasto-plastic properties of materials from the load-displacement curves obtained in nanoindentation test. These algorithms were only applicable for engineering metals (Poisson#s ratio 0.3) using the equivalent conical indenter of the Berkovich. However, the applicable metals are substantially limited because range of used in the finite element analysis is narrow. This study is designed to expand range of the applicable metals in the reverse algorithms established by Dao et al. and to improve the accuracy of that for extracting the elasto-plastic properties of materials. In this study, a representative strain was assumed to vary according to specific range of $E^*/{\sigma}_r$ and was defined as function of $E^*/{\sigma}_r$. Also, an initial unloading slope in reverse algorithms improved in this study was not considered as independent parameters of the load-displacement curves. The mechanical properties of materials for finite element analysis were modeled with the elastic modulus, E, the yield strength, ${\sigma}_y$, and the strain hardening exponents, n. We showed that the representative strain (0.033) suggested by Dao et al. was no longer applicable above the $E^*/{\sigma}_r$ of 400 and depended on values of $E^*/{\sigma}_r$. From these results, we constructed the dimensionless functions, in where the initial unloading slope was not included, for engineering metals up to $E^*/{\sigma}_r$ of 1500. These functions allow us to determine the mechanical properties with greater accuracy than Dao#s study.

준능동 동조질량감쇠기의 탄성 및 비탄성 지진응답 제어성능 평가 (Performance Evaluation of Semi-Active Tuned Mass Damper for Elastic and Inelastic Seismic Response Control)

  • 이상현;정란;우성식;조승호
    • 한국지진공학회논문집
    • /
    • 제11권2호
    • /
    • pp.47-56
    • /
    • 2007
  • 본 연구에서는 지진하중을 받는 탄성 및 비탄성 구조물에 대하여 수동 및 준능동 TMD의 지진응답제어성능을 평가하였다. 먼저 기존의 연구에서 제안된 식을 사용하여 최적 설계된 수동형 TMD와 본 연구에서 제시된 준능동 TMB가 설치된 탄성 구조물의 변위스펙트럼을 구하였으며, 준능동 TMD가 TMD보다 작은 스트로크를 가지고도 최대변위응답제어에 있어 우수함을 확인하였다. 또한 구조물의 주기와 TMD의 주기가 일치하지 않은 경우의 성능저하에 대한 TMD의 강인성을 평가하였다. 최종적으로 Bouc-Wen 모델을 사용하여 모사된 비탄성이력 특성을 가지는 구조물에 대한 수치해석을 수행하였으며, 이를 통해 탄성구조물에 대하여 최적화된 수동형 TMD의 성능은 구조물 응답의 비탄성이력 부분이 증가함에 따라 크게 저하되는 반면 준능동 TMD는 수동형 TMD보다 약 15-40% 정도의 더 많은 응답감소효과를 가짐을 확인하였다.

시간영역 변위근사 유한차분법의 자유면 경계조건 (Free-surface Boundary Condition in Time-domain Elastic Wave Modeling Using Displacement-based Finite-difference Method)

  • 민동주;유해수
    • 지구물리와물리탐사
    • /
    • 제6권2호
    • /
    • pp.77-86
    • /
    • 2003
  • 자유면 경계조건을 정착하게 묘사할 수 있는 변위근사 유한차분법을 이용하는 시간영역 탄성파 모델링법을 고안하였다. 기존의 변위근사 유한차분법의 경우 변위와 매질의 물성을 격자점에 정의하는 격자군(격자점 기반의 격자군)을 이용하였으나, 이 연구에서 제시하는 새로운 유한차분법에서는 변위는 격자점에 정의하지만 매질의 물성을 격자점으로 둘러싸인 면에 정의하는 격자군(셀 기반의 격자군)을 이용한다. 매질의 물성을 셀에 정의할 경우 자유면에서 응력이 사라진다는 자유면 경계조건을 추가로 적용할 필요가 없으며 매질의 물성 변화만으로 자유면 경계조건을 표현할 수 있다. 수치예를 통한 정확도 분석 결과 셀 기반의 격자군을 이용할 경우 계산된 수치석인 해가 해석적인 해에 매우 근사함을 알 수 있었다.

Coupled temperature-displacement modeling to study the thermo-elastic instability in disc brakes

  • Ramkumar, E.;Mayuram, M.M.
    • Coupled systems mechanics
    • /
    • 제1권2호
    • /
    • pp.165-182
    • /
    • 2012
  • Macroscopic hot spots formed due to the large thermal gradients at the surface of the disc brake rotor, make the rotor to fail or wear out early. Thermo-elastic deformation results in contact concentration, leading to the non uniform distribution of temperature making the disc susceptible to hot spot formation. The formation of one hot spot event will predispose the system to future hot spotting at the same location. This leads to the complete thermo-elastic instability in the disc brakes; multitude parameters are responsible for the thermo elastic instability. The predominant factor is the sliding velocity and above a certain sliding velocity the instability of the brake system occurs and hot spots is formed in the surface of the disc brake. Commercial finite element package ABAQUS(R) is used to find the temperature distribution and the result is validated using Rowson's analytical model. A coupled analysis methodology is evolved for the automotive disc brake from the transient thermo-elastic contact analysis. Temperature variation is studied under different sliding speeds within the operation range.

FLUID-ELASTIC INSTABILITY OF ROTATED SQUARE TUBE ARRAY IN AN AIR-WATER TWO-PHASE CROSSFLOW

  • CHUNG HEUNG JUNE;CHU IN-CHEOL
    • Nuclear Engineering and Technology
    • /
    • 제38권1호
    • /
    • pp.69-80
    • /
    • 2006
  • Fluid-elastic instability in an air-water two-phase cross-flow has been experimentally investigated using two different arrays of straight tube bundles: normal square (NS) array and rotated square (RS) array tube bundles with the same pitch-to-diameter ratio of 1.633. Experiments have been performed over wide ranges of mass flux and void fraction. The quantitative tube vibration displacement was measured using a pair of strain gages and the detailed orbit of the tube motion was analyzed from high-speed video recordings. The present study provides the flow pattern, detailed tube vibration response, damping ratio, hydrodynamic mass, and the fluid-elastic instability for each tube bundle. Tube vibration characteristics of the RS array tube bundle in the two-phase flow condition were quite different from those of the NS array tube bundle with respect to the vortex shedding induced vibration and the shape of the oval orbit of the tube motion at the fluid-elastic instability as well as the fluid-elastic instability constant.

Transient thermo-piezo-elastic responses of a functionally graded piezoelectric plate under thermal shock

  • Xiong, Qi-lin;Tian, Xin
    • Steel and Composite Structures
    • /
    • 제25권2호
    • /
    • pp.187-196
    • /
    • 2017
  • In this work, transient thermo-piezo-elastic responses of an infinite functionally graded piezoelectric (FGPE) plate whose upper surface suffers time-dependent thermal shock are investigated in the context of different thermo-piezo-elastic theories. The thermal and mechanical properties of functionally graded piezoelectric plate under consideration are expressed as power functions of plate thickness variable. The solution of problem is obtained by solving the corresponding finite element governing equations in time domain directly. Transient thermo-piezo-elastic responses of the FGPE plate, including temperature, stress, displacement, electric intensity and electric potential are presented graphically and analyzed carefully to show multi-field coupling behaviors between them. In addition, the effects of functionally graded parameters on transient thermo-piezo-elastic responses are also investigated to provide a theoretical basis for the application of the FGPE materials.

Numerical study on the resonance behavior of submerged floating tunnels with elastic joint

  • Park, Joohyun;Kang, Seok-Jun;Hwang, Hyun-Joong;Cho, Gye-Chun
    • Geomechanics and Engineering
    • /
    • 제29권3호
    • /
    • pp.207-218
    • /
    • 2022
  • In submerged floating tunnels (SFTs), a next-generation maritime transportation infrastructure, the tunnel module floats in water due to buoyancy. For the effective and economical use of SFTs, connection with the ground is inevitable, but the stability of the shore connection is weak due to stress concentration caused by the displacement difference between the subsea bored tunnel and the SFT. The use of an elastic joint has been proposed as a solution to solve the stability problem, but it changes the dynamic characteristics of the SFT, such as natural frequency and mode shape. In this study, the finite element method (FEM) was used to simulate the elastic joints in shore connections, assuming that the ground is a hard rock without displacement. In addition, a small-scale model test was performed for FEM model validation. A parametric study was conducted on the resonance behavior such as the natural frequency change and velocity, stress, and reaction force distribution change of the SFT system by varying the joint stiffness under loading conditions of various frequencies and directions. The results indicated that the natural frequency of the SFT system increased as the stiffness of the elastic joint increased, and the risk of resonance was the highest in the low-frequency environment. Moreover, stress concentration was observed in both the SFT and the shore connection when resonance occurred in the vertical mode. The results of this study are expected to be utilized in the process of quantitative research such as designing elastic joints to prevent resonance in the future.

저탄성 베이스플레이트 패드 적용에 따른 포장궤도 노반에서의 전달하중 저감에 관한 연구 (A Study on Transferred Load Reduction on Paved Track Roadbed with Low Elastic Base Plate Pad)

  • 이일화;강윤석;이희업
    • 대한토목학회논문집
    • /
    • 제28권3D호
    • /
    • pp.399-405
    • /
    • 2008
  • 포장궤도는 기존선의 유지보수 노력을 절감하기 위하여 개발되고 있다. 이 중 베이스플레이트 저탄성패드는 궤도 전체의 지지강성을 결정하는 구성품으로서 궤도의 응력-변위특성, 동적응답, 피로특성 등에 가장 큰 영향을 미친다. 따라서 저탄성패드의 적용은 궤도전체의 내구성과 안정성에 미치는 영향이 크다고 할 수 있다. 본 논문에서는 저탄성패드의 적용으로 인하여 획득되는 효과 중 노반에 전달되는 열차하중의 저감에 대한 연구를 수행하였다. 이를 위하여 패드스프링계수별 정적해석과 실물반복재하시험을 수행하고 그 결과를 비교 분석하여 저탄성패드의 하중 전달특성을 파악하였으며 전달하중 저감효과를 검토하였다.