• Title/Summary/Keyword: elastic deflection

Search Result 410, Processing Time 0.03 seconds

Optimization of a sandwich beam design: analytical and numerical solutions

  • Awad, Ziad K.
    • Structural Engineering and Mechanics
    • /
    • v.48 no.1
    • /
    • pp.93-102
    • /
    • 2013
  • An optimization work was developed in this work to provide design information for sandwich beam in civil engineering applications. This research is motivated by the wide-range applications of sandwich structures such as; slab, beam, girder, and railway sleeper. The design of a sandwich beam was conducted by using analytical and numerical optimization. Both analytical and numerical procedures consider the optimum design with structure mass objective minimization. Allowable deflection was considered as design constraints. It was found that the optimized core to the skins mass ratio is affected by the skin to core density and elastic modulus ratios. Finally, the optimum core to skin mass ratio cannot be constant for different skin and core materials.

Nonlinear Analysis of Large Concrete Panel Structures subjected to Cyclic Loads (반복하중을 받는 대형 콘크리트 판구조의 비선형 해석)

  • 정봉오;서수연;이원호;이리형
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1994.10a
    • /
    • pp.113-120
    • /
    • 1994
  • Large Concrete Panel Structures behave quite differently from frame or monolithic shear wall structures because of the weakness of Joint in stiffness and strength. The joint experiences large deformation such as shear-slip in vertical and horizontal joint and rocking and crushing in horizontal joint because of localized stress concentration, but the wall panels behave elastically under cyclic loads. In order to describe the nonlinear behavior of the joint in the analysis of PC structures, different analysis technique from that of RC structures is needed. In this paper, for analysis of large concrete panel subassemblage subjected to cyclic loads, the wall panels are idealized by elastic finite elements, and the joints by nonlinear spring elements with various load-deflection relationship. The analytical results are compared with the experimental results on the strength, stiffness, energy dissipation and lateral drift, and the effectiveness of this computer analysis modelling technique is checked.

  • PDF

The Influence on Elastic Beam for Natural Frequency of Composite Sandwich Plate (복합재료 샌드위치 판의 고유 진동수에 대한 탄성보의 영향)

  • Lee, Bong-hak;Won, Chi-moon;Lee, Jung-ho;Kim, Seong-whan
    • Journal of Industrial Technology
    • /
    • v.17
    • /
    • pp.191-197
    • /
    • 1997
  • For each construction material used, there is certain theoretical limit in sizes. For tall building construction, the reduction in slab weight is the first step to take in order to break such size limits. In this paper, the feasibility of such objective is proven and given by numerical analysis result. For a typical building slab, both concrete and advanced composite sandwich panels are considered. The concrete slab is treated as a special orthotropic plate to obtain more accurate result. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, in this paper. The influence of the modulus of the foundation on the natural frequency is thoroughly studied.

  • PDF

Analysis of higher order composite beams by exact and finite element methods

  • He, Guang-Hui;Yang, Xiao
    • Structural Engineering and Mechanics
    • /
    • v.53 no.4
    • /
    • pp.625-644
    • /
    • 2015
  • In this paper, a two-layer partial interaction composite beams model considering the higher order shear deformation of sub-elements is built. Then, the governing differential equations and boundary conditions for static analysis of linear elastic higher order composite beams are formulated by means of principle of minimum potential energy. Subsequently, analytical solutions for cantilever composite beams subjected to uniform load are presented by Laplace transform technique. As a comparison, FEM for this problem is also developed, and the results of the proposed FE program are in good agreement with the analytical ones which demonstrates the reliability of the presented exact and finite element methods. Finally, parametric studies are performed to investigate the influences of parameters including rigidity of shear connectors, ratio of shear modulus and slenderness ratio, on deflections of cantilever composite beams, internal forces and stresses. It is revealed that the interfacial slip has a major effect on the deflection, the distribution of internal forces and the stresses.

Elastica Solution of Large Deformation of Fiber Cantilever with Crimped Shapes (크림프를 가진 섬유 캔틸레버의 대변형의 일래스티카 해)

  • 정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2001.05a
    • /
    • pp.102-105
    • /
    • 2001
  • In this paper, the solution of two dimensional deflection of circular wavy elastica beam was obtained for one end clamped boundary and concentrated load condition. The beam was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of integral equations. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown compared with initial shape.

  • PDF

Deflection of a Thin Solid Structure by a Thermal Bubble (열 기포에 의한 고체 박막의 변형 해석)

  • Kim, Ho-Young;Lee, Yoon-Pyo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.27 no.2
    • /
    • pp.236-242
    • /
    • 2003
  • Thermal bubbles find their diverse application areas in the MEMS (MicroElectroMechanial Systems) technology, including bubble jet printers, microactuators, micropumps, etc.. Especially, microactuators and micropumps, which use a microbubble growing by a controlled heat input, frequently involve mechanical and thermal interaction of the bubble with a solid structure, such as a cantilever beam and a membrane. Although the concept is experimentally verified that an internal pressure of the bubble can build up high enough to deflect a thin solid plate or a beam, the physics of the entire process have not yet been thoroughly explored. This work reports the experimental study of the growth of a thermal bubble while deflecting a thin cantilever beam. A physical model is presented to predict the elastic response of the cantilever beam based on the experimental measurements. The scaling law constructed through this work can provide a design guide for micro- and nano-systems that employ a thermal bubble for their actuation/pumping mechanism.

Prediction of the Reaction Force for Seal Lip Design with Wheel Bearing Unit (휠 베어링용 밀봉 시일 설계를 위한 시일 립의 밀착력 예측)

  • 김기훈;유영면;임종순;이상훈
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.9 no.5
    • /
    • pp.165-172
    • /
    • 2001
  • Wheel bearing units were almost exclusively used for car front wheel, where the two ball rows are directly side by side with integrated rubber seal. The seal is of important for wheel bearing units due to the adverse environmental conditions with mud and splash water. The seal of wheel bearing units was designed to have geometry with multi lips, which elastic lip contacts and deforms with bearing. The equation of reaction force for deformed lip as cantilever beam was previously used for seal lip design. But it's result was not useful because deflection of the beam differs from lip's. In this study, deformed shape of the lip was assumed to and order function which is more similar to lip deformation and made the equation for reaction force prediction. The Reaction forces from each other equations were compared with results by FEA to prove usefulness of new equation.

  • PDF

Tip Position Control of Flexible Robot Manipulators Using 2-DOF Controller with Sliding Mode (슬라이딩 모드를 가진 2-자유도 제어기를 이용한 유연한 로봇 조작기의 끝점 위치 제어)

  • 신효필;이종광;강이석
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.6 no.6
    • /
    • pp.471-477
    • /
    • 2000
  • The position control accuracy of a robot arm is significantly deteriorated when a long arm robot is operated at a high speed. In this case, the robot arm must be modeled as a flexible structure, not a rigid one, and its control system should be designed with its elastic modes taken into account. In this paper, the tip position control scheme of a one-link flexible manipulator using 2-DOF controller with sliding mode is presented. The robot consists of a flexible arm manufactured with a thin aluminium plate, an AC servo motor with a harmonic drive for speed reduction, an optical encoder and a CCD camera as a vision sensor for on-line measuring the tip deflection of the flexible m. Simulation and experimental results of the flexible manipulator with a proposed controller are provided to show the effectiveness of the controller.

  • PDF

A Study on the Static Analysis of the Cintinuous Curved Box Girder Bridge using Energy Method (에너지법에 의한 연속 곡선박스형교의 정적해석에 관한 연구)

  • Chang, Byung Soon;Seo, Sang Keun;Lee, Dong Jun
    • Journal of Korean Society of Steel Construction
    • /
    • v.13 no.2
    • /
    • pp.163-176
    • /
    • 2001
  • In this paper, the stress resultants and displacements of simply supported curved girder based on the flexural torsional theory considering torsional warping effects are analyzed. And elastic equations of continuous curved girder are obtained by using energy method. Also, bending moment warping torsional moment diagram, pure torsional moment diagram, shearing force diagram, and deflection diagram of continuos curved girder bridge subjecting to vertical loads and uniform loads are presented.

  • PDF

Analysis of Compliance of Planetary Gears based on Floating Intermediate Rings (유성 기어 유동 중개륜의 컴플라이언스 해석)

  • Cho, Ihnsung
    • Tribology and Lubricants
    • /
    • v.29 no.6
    • /
    • pp.378-385
    • /
    • 2013
  • An epicyclic gearing system is compact and lightweight. However, it is difficult to share the driving force equally because the system has closed gear trains with multiple driving points, and it always has geometrical errors in the elements. Thus, in the case of planetary gears, the first problem is how to distribute the load evenly to the numerous planets. The method widely used abroad for this purpose is to utilize the elastic deformation of the components of the structure. However, the deflection is very complicated, and it is very easy for vibration problems to occur because of the decrease in the natural frequencies. Therefore, to equalize the load on the planets, this paper discusses the principle and theory behind the functioning of a floating intermediate ring. This magnifies the displacement of a planet's center arising from the equilibrium of the load and the lubricating film pressure, which improves the compliance of the planets. The results show that load equalization of the planets is possible through this improvement in their compliance.