• 제목/요약/키워드: material and geometric nonlinearity

검색결과 152건 처리시간 0.027초

다양한 케이블 요소를 이용한 강사장교의 극한강도 평가 (Evaluation of Limit Strength for Steel Cable-Stayed Bridgesusing Various Cable Elements)

  • 송원근;이종우
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제10권5호
    • /
    • pp.115-121
    • /
    • 2006
  • 본 논문에서는 다양한 형태의 케이블 요소들의 거동이 강사장교의 극한강도에 미치는 영향을 검토하였다. 연화소성힌지 모델을 사용한 극한강도 평가 시 보-기둥 부재의 기하학적 비선형은 안정함수를 사용하여 고려하였고 재료적 비선형성을 반영하기 위하여 CRC 접선계수와 포물선 함수를 사용하였다. 케이블 부재는 새그의 영향이 고려되었다. 연구 결과 등가탄성계수가 반영된 등가트러스 요소를 사용한 경우 강사장교의 극한강도가 케이블 요소 또는 현수선 요소를 사용하여 평가한 극한강도 보다 안전측으로 평가되었다.

Nonlinear free vibration analysis of a composite beam reinforced by carbon nanotubes

  • M., Alimoradzadeh;S.D., Akbas
    • Steel and Composite Structures
    • /
    • 제46권3호
    • /
    • pp.335-344
    • /
    • 2023
  • This investigation presents nonlinear free vibration of a carbon nanotube reinforced composite beam based on the Von Kármán nonlinearity and the Euler-Bernoulli beam theory The material properties of the structure is considered as made of a polymeric matrix by reinforced carbon nanotubes according to different material distributions. The governing equations of the nonlinear vibration problem is delivered by using Hamilton's principle and the Galerkin's decomposition technique is utilized to discretize the governing nonlinear partial differential equation to nonlinear ordinary differential equation and then is solved by using of multiple time scale method. The nonlinear natural frequency and the nonlinear free response of the system is obtained with the effect of different patterns of reinforcement.

Large deformation bending analysis of functionally graded spherical shell using FEM

  • Kar, Vishesh Ranjan;Panda, Subrata Kumar
    • Structural Engineering and Mechanics
    • /
    • 제53권4호
    • /
    • pp.661-679
    • /
    • 2015
  • In this article, nonlinear finite element solutions of bending responses of functionally graded spherical panels are presented. The material properties of functionally graded material are graded in thickness direction according to a power-law distribution of volume fractions. A general nonlinear mathematical shallow shell model has been developed based on higher order shear deformation theory by taking the geometric nonlinearity in Green-Lagrange sense. The model is discretised using finite element steps and the governing equations are obtained through variational principle. The nonlinear responses are evaluated through a direct iterative method. The model is validated by comparing the responses with the available published literatures. The efficacy of present model has also been established by demonstrating a simulation based nonlinear model developed in ANSYS environment. The effects of power-law indices, support conditions and different geometrical parameters on bending behaviour of functionally graded shells are obtained and discussed in detail.

기하학적 비선형을 고려한 핀접합 단층 래티스 돔의 불안정 거동에 관한 연구 (A Study on the Unstable Behavior of Pin-connected Single-layer Latticed Domes considering Geometric Nonlinearity)

  • 권택진;김승덕;김종민
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
    • /
    • pp.240-247
    • /
    • 1997
  • Single-layer latticed domes, which ore consisted of slender linear elements, are able to transmit external loads to the structure by in-plane forces, therefore spatial structures can be constructed with the merit of its own lightweight. But, as external load reaches to any critical level at which each member has not material nonlinearity, the single-layer latticed dome shows unstable phenomenon. In particular, pin-connected single-layer latticed domes have much complicate unstable phenomena that are combined with nodal buckling and member buckling. Furthermore, single-layer latticed domes are very sensible to the initial imperfection which occurred inevitably in construction. In this study, we are going to grasp the characteristics of instability for the latticed dome by finite element method considering geometrical nonlinearity.

  • PDF

Nonlinear cylindrical bending analysis of E-FGM plates with variable thickness

  • Kaci, Abdelhakim;Belakhdar, Khalil;Tounsi, Abdelouahed;Bedia, El Abbes Adda
    • Steel and Composite Structures
    • /
    • 제16권4호
    • /
    • pp.339-356
    • /
    • 2014
  • This paper presents a study of the nonlinear cylindrical bending of an exponential functionally graded plate (simply called E-FG) with variable thickness. The plate is subjected to uniform pressure loading and his geometric nonlinearity is introduced in the strain-displacement equations based on Von-Karman assumptions. The material properties of functionally graded plates, except the Poisson's ratio, are assumed to vary continuously through the thickness of the plate in accordance with the exponential law distribution; and the solution is obtained using Hamilton's principle for constant plate thickness. In order to analyze functionally graded plate with variable thickness, a numerical solution using finite difference method is used, where parabolic variation of the plate thickness is studied. The results for E-FG plates are given in dimensionless graphical forms; and the effects of material and geometric properties on displacements and normal stresses through the thickness are determined.

Energy dissipation of steel-polymer composite beam-column connector

  • Wang, Yun-Che;Ko, Chih-Chin
    • Steel and Composite Structures
    • /
    • 제18권5호
    • /
    • pp.1161-1176
    • /
    • 2015
  • The connection between a column and a beam is of particular importance to ensure the safety of civil engineering structures, such as high-rise buildings and bridges. While the connector must bear sufficient force for load transmission, increase of its ductility, toughness and damping may greatly enhance the overall safety of the structures. In this work, a composite beam-column connector is proposed and analyzed with the finite element method, including effects of elasticity, linear viscoelasticity, plasticity, as well as geometric nonlinearity. The composite connector consists of three parts: (1) soft steel; (2) polymer; and (3) conventional steel to be connected to beam and column. It is found that even in the linear range, the energy dissipation capacity of the composite connector is largely enhanced by the polymer material. Since the soft steel exhibits low yield stress and high ductility, hence under large deformation the soft steel has the plastic deformation to give rise to unique energy dissipation. With suitable geometric design, the connector may be tuned to exhibit different strengths and energy dissipation capabilities for real-world applications.

Nonlinear damping and forced vibration analysis of laminated composite plates with composite viscoelastic core layer

  • Youzera, Hadj;Ali, Abbache;Meftah, Sid Ahmed;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
    • /
    • 제44권1호
    • /
    • pp.91-104
    • /
    • 2022
  • The purpose of the present work is to study the parametric nonlinear vibration behavior of three layered symmetric laminated plate. In the analytical formulation; both normal and shear deformations are considered in the core layer by means of the refined higher-order zig-zag theory. Harmonic balance method in conjunction with Galerkin procedure is adopted for simply supported laminate plate, to obtain its natural and damping properties. For these aims, a set of complex amplitude equations governed by complex parameters are written accounting for the geometric nonlinearity and viscoelastic damping factor. The frequency response curves are presented and discussed by varying the material and geometric properties of the core layer.

등가정하중을 이용한 비선형 거동 트러스 구조물의 최적설계 (Structural Optimization of Truss with Non-Linear Response Using Equivalent Static Loads)

  • 박기종;박경진
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 춘계학술대회
    • /
    • pp.999-1004
    • /
    • 2004
  • A numerical method and algorithms is proposed to perform optimization of non-linear response structures. An analytical and numerical method based finite element method is also proposed for the transformation of non-linear response into linear response. Loads transformed from this method are defined as the equivalent linear loads. With the loads and the transformed response, linear static optimization is performed for nonlinear response structure with geometric and/or material non-linearity. The results of the optimization are compared with them of typical non-linear response optimization using finite difference method. The proposed method is very efficient and derives good solution.

  • PDF

Combined effects of end-shortening strain, lateral pressure load and initial imperfection on ultimate strength of laminates: nonlinear plate theory

  • Ghannadpour, S.A.M.;Barvaj, A. Kurkaani
    • Steel and Composite Structures
    • /
    • 제33권2호
    • /
    • pp.245-259
    • /
    • 2019
  • The present study aims to investigate the ultimate strength and geometric nonlinear behavior of composite plates containing initial imperfection subjected to combined end-shortening strain and lateral pressure loading by using a semi-analytical method. In this study, the first order shear deformation plate theory is considered with the assumption of large deflections. Regarding in-plane boundary conditions, two adjacent edges of the laminates are completely held while the two others can move straightly. The formulations are based on the concept of the principle of minimum potential energy and Newton-Raphson technique is employed to solve the nonlinear set of algebraic equations. In addition, Hashin failure criteria are selected to predict the failures. Further, two distinct models are assumed to reduce the mechanical properties of the failure location, complete ply degradation model, and ply region degradation model. Degrading the material properties is assumed to be instantaneous. Finally, laminates having a wide range of thicknesses and initial geometric imperfections with different intensities of pressure load are analyzed and discuss how the ultimate strength of the plates changes.

Thermal post-buckling of graphene platelet reinforced metal foams doubly curved shells with geometric imperfection

  • Jia-Qin Xu;Gui-Lin She
    • Structural Engineering and Mechanics
    • /
    • 제87권1호
    • /
    • pp.85-94
    • /
    • 2023
  • In the present work, thermal buckling and post-buckling behaviors of imperfect graphene platelet reinforced metal foams (GPRMFs) doubly curved shells are examined. Material properties of GPRMFs doubly curved shells are presumed to be the function of the thickness. Reddy' shell theory incorporating geometric nonlinearity is utilized to derive the governing equations. Various types of the graphene platelets (GPLs) distribution patterns and doubly curved shell types are taken into account. The nonlinear equations are discretized for the case of simply supported boundary conditions. The thermal post-buckling response are presented to analyze the effects of GPLs distribution patterns, initial geometric imperfection, GPLs weight fraction, porosity coefficient, porosity distribution forms, doubly curved shell types. The results show that these factors have significant effects on the thermal post-buckling problems.