• Title/Summary/Keyword: flexibility formulation

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Extension of the variational theory of complex rays to orthotropic shallow shell structures

  • Cattabiani, Alessandro;Barbarulo, Andrea;Riou, Herve;Ladeveze, Pierre
    • Advances in aircraft and spacecraft science
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    • v.3 no.3
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    • pp.317-330
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    • 2016
  • Nowadays, the interest of aerospace and automotive industries on virtual testing of medium-frequency vibrational behavior of shallow shell structures is growing. The development of software capable of predicting the vibrational response in such frequency range is still an open question because classical methods (i.e., FEM, SEA) are not fully suitable for the medium-frequency bandwidth. In this context the Variational Theory of Complex Rays (VTCR) is taking place as an ad-hoc technique to address medium-frequency problems. It is a Trefftz method based on a weak variational formulation. It allows great flexibility because any shape function that satisfies the governing equations can be used. This work further develops such theory. In particular, orthotropic materials are introduced in the VTCR formulation for shallow shell structures. A significant numerical example is proposed to show the strategy.

Isogeometric analysis of gradient-enhanced damaged plasticity model for concrete

  • Xu, Jun;Yuan, Shuai;Chen, Weizhen
    • Computers and Concrete
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    • v.23 no.3
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    • pp.171-188
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    • 2019
  • This study proposed a new and efficient 2D damage-plasticity model within the framework of Isogeometric analysis (IGA) for the geometrically nonlinear damage analysis of concrete. Since concrete exhibits complicated material properties, two internal variables are introduced to measure the hardening/softening behavior of concrete in tension and compression, and an implicit gradient-enhanced formulation is adopted to restore the well-posedness of the boundary value problem. The numerical results calculated by the model is compared with the experimental data of three benchmark problems of plain concrete (three-point and four-point bending single-notched beams and four-point bending double-notched beam) to illustrate the geometrical flexibility, accuracy, and robustness of the proposed approach. In addition, the influence of the characteristic length on the numerical results of each problem is investigated.

Dynamic Analysis of Multi-Robot System Forcing Closed Kinematic Chain (복수로봇 시스템의 동력학적 연구-대상물과 닫힌 체인을 형성할때의 문제-)

  • 유범상
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.4
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    • pp.1023-1032
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    • 1995
  • The multiple cooperating robot system plays an important role in the research of modern manufacturing system as the emphasis of production automation is more on the side of flexibility than before. While the kinematic and dynamic analysis of a single robot is performed as an open-loop chain, the dynamic formulation of robot in a multiple cooperating robot system differs from that of a single robot when the multiple cooperating robots form a closed kinematic chain holding an object simultaneously. The object may be any type from a rigid body to a multi-joint linkage. The mobility of the system depends on the kinematic configuration of the closed kinematic chain formed by robots and object, which also decides the number of independent input parameters. Since the mobility is not the same as the number of robot joints, proper constraint condition is sought. The constraints may be such that : the number of active robot joints is kept the same as mobility, all robot joints are active and have interrelations between each joint forces/torques, two robots have master-slave relation, or so on. The dynamic formulation of system is obtained. The formulation is based on recursive dual-number screw-calculus Newton-Eulerian approach which has been used for single robot analysis. This new scheme is recursive and compact symbolically and may facilitate the consideration of the object in real time.

Bilinear plate bending element for thin and moderately thick plates using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.
    • Structural Engineering and Mechanics
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    • v.26 no.1
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    • pp.43-68
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    • 2007
  • Using the Mindlin-Reissner plate theory, many quadrilateral plate bending elements have been developed so far to analyze thin and moderately thick plate problems via displacement based finite element method. Here new formulation has been made to analyze thin and moderately thick plate problems using force based finite element method called Integrated Force Method (IFM). The IFM is a novel matrix formulation developed in recent years for analyzing civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. In this paper the force based new bilinear quadrilateral plate bending element (MQP4) is proposed to analyze the thin and moderately thick plate bending problems using Integrated Force Method. The Mindlin-Reissner plate theory has been used in the formulation of this element which accounts the effect of shear deformation. Standard plate bending benchmark problems are analyzed using the proposed element MQP4 via Integrated Force Method to study its performance with respect to accuracy and convergence, and results are compared with those of displacement based 4-node quadrilateral plate bending finite elements available in the literature. The results are also compared with the exact solutions. The proposed element MQP4 is free from shear locking and works satisfactorily in both thin and moderately thick plate bending situations.

LMI-based Design of Integral Sliding Mode Controllers (적분 슬라이딩 모드 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.563-566
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    • 2009
  • This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Our method is a generalization of the previous integral sliding mode control design methods. Since our method is based on LMIs, it gives design flexibility for combining various useful design criteria that can be captured in the LMI-based formulation.

Seismic Analysis of Liquid Storage Structures sing Eulerian Formulation (Eulerian 기법을 이용한 유체저장구조물의 지진해석)

  • 윤정방;김재민;김영석;전영선
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.43-48
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    • 1991
  • In this paper the liquid sloshing effects in rectangular liquid stroage structures under earthquake loadings are studied. The study focuses on the investigation of the effect of the flexibility of the stroage wall. The storage structure is modelled using beam elements. The motion of the liquid is expressed by the Laplace equation. The equation of motion is formulated including the coupling between the wall motion and the sloshing motion. Seismic analyses have been carried out utilizing the response spectra method.

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Motion and force control of robot manipulator (로보트 매니퓰레이터의 운동과 힘 제어)

  • 이남구;박세승;박종국
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.174-178
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    • 1991
  • In this paper, we present a unified approach for the control of manipulator motions and active forces based on the operational space formulation. The end-effector dynamic model is used in the development of a control system in which the generalized operational space end-effector forces are selected as the command vector. A "generalized position and force specification matrix" is used for the specification of space of motions and forces in which manipulator is to be controlled. Flexibility in the force sensor, end-effector, and environment are discussed.discussed.

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Polyurethane-coated Fabric for RF Welding (RF 접합용 폴리우레탄 코팅 직물)

  • Park, Jong-Cheol;Lee, Jin-Uk;Yun, Nam-Sik;;Kim, Hong-Je
    • Proceedings of the Korean Society of Dyers and Finishers Conference
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    • 2008.10a
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    • pp.103-104
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    • 2008
  • Radio-frequency(RF) weldable polyurethane-coated fabric was prepared by knife coating of presetted and cire-finished nylon fabric using optimized coating formulation including RF-sensitive commercial polyurethane resins. The physical properties, adhesion strength, peeling strength, abrasion strength, flexibility, and hydrostatic water resistance of the prepared coated fabric were good enough to show no significant difference with regular coating. Additionally the prepared coated fabric had silky and soft touch without tackiness.

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Form-finding Analysis of Cable Networks Considering a Flexibility of the Structures for Mesh Reflector Antennas (구조 유연도를 고려한 메쉬 반사판 안테나의 케이블 네트워크 형상 설계)

  • Roh, Jin-Ho;Choi, Hye-Yoon;Jung, Hwa-Young;Kim, Hyo-Tae;Yun, Ji-Hyeon
    • Journal of Aerospace System Engineering
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    • v.16 no.4
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    • pp.68-76
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    • 2022
  • The purpose of this paper was to design the cable networks for mesh reflector antennas, considering the flexibility of structures. An effective form-find methodology is proposed. The whole parts of the cable networks are described by the absolute nodal coordinate formulation. Additionally, nonlinear deformation of the cable can be obtained. The form-finding analysis of the reflector with standard configuration is performed, to validate the proposed methodology. The truss ring structure is numerically modeled using the frame elements. To consider the flexibility of the truss ring as well as the cable net structure, an iteration analysis between the truss ring and the cable net under tensional forces is also performed in the form-finding process. The finial configuration of the reflector with tensioned cable networks is demonstrated.

Application of ADE-PML Boundary Condition to SEM using Variational Formulation of Velocity-Stress 3D Wave Equation (속도-응력 변분식을 이용한 3차원 SEM 탄성파 수치 모사에 대한 ADE-PML경계조건의 적용)

  • Cho, Chang-Soo;Son, Min-Kyung
    • Geophysics and Geophysical Exploration
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    • v.15 no.2
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    • pp.57-65
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    • 2012
  • Various numerical methods in simulation of seismic wave propagation have been developed. Recently an innovative numerical method called as the Spectral Element Method (SEM) has been developed and used in wave propagation in 3-D elastic media. The SEM that easily implements the free surface of topography combines the flexibility of a finite element method with the accuracy of a spectral method. It is generally used a weak formulation of the equation of motion which are solved on a mesh of hexahedral elements based on the Gauss-Lobatto-Legendre integration rule. Variational formulations of velocity-stress motion are newly modified in order to implement ADE-PML (Auxiliary Differential Equation of Perfectly Matched Layer) in wave propagation in 3-D elastic media, because a general weak formulation has a difficulty in adapting CFS (Complex Frequency Shifted) PML (Perfectly Matched Layer). SEM of Velocity-Stress motion having ADE-PML that is very efficient in absorbing waves reflected from finite boundary is verified with simulation of 1-D and 3-D wave propagation.