• Title/Summary/Keyword: Force equilibrium

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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.

Force-finding of Tensegrity Structure using Optimization Technique

  • Lee, Sang Jin
    • Architectural research
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    • v.17 no.1
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    • pp.31-40
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    • 2015
  • A simple force-finding process based on an optimization technique is proposed for tensegrity structures. For this purpose, the inverse problem of form-finding process is formulated. Therefore, the position vector of nodes and element connectivity information are provided as priori. Several benchmark tests are carried out to demonstrate the performance of the present force-finding process. In particular, the force density distributions of simplex tensegrity are thoroughly investigated with the important parameters such as the radius, height and twisting angle of simplex tensegrity. Finally, the force density distribution of arch tensegrity is produced by using the present force-finding process for a future reference solution.

A Calculation Method of the Ship's Posture Based on the Static Equilibrium for the Refloating Plan of the Stranded Ship (좌초선의 이초 계획 수립을 위한 정적 평형 기반의 자세 계산 방법)

  • Lee, Woo-yong;Ham, Seung-Ho;Ku, Namkug
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.1
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    • pp.55-63
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    • 2022
  • A stranded ship means a ship which is stuck on a rock or a seabed, and cannot move by itself. The lightening plan is required to refloat the stranded ship. For this, we have to understand the forces and moments acting on the ship, which is composed of the gravity, buoyancy, and reaction force due to the touched area below the ship. This study defines those forces and moments, and proposed the calculation method to find the posture based on the static equilibrium. It is divided by two steps. In the first step, the magnitude and position of the reaction force are obtained based on the known information such as initial trim angle and draft of the ship. In the second step, the reaction force and the posture is calculated due to the three cases such as addition, reduction, and movement of the cargo. It is applied to three examples in order to calculate the reaction force, and the trim angle due to changes of the cargo. As a results, we successfully obtain the magnitudes and positions of forces acting on the stranded ship and to check the posture of the stranded ship.

A Numerical Study on Real Gas Effect due to High Temperature and Speed Flow (고온 고속유동으로 인한 실제 기체효과의 수치해석적 연구)

  • 송동주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2431-2442
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    • 1994
  • In this paper the efficient space marching Viscous Shock Layer and Parabolized Navier-Stokes method have been applied to study the complex 3-D hypersonic equilibrium chemically reacting flowfilelds over sphere-cone($10^{\circ}$) vehicle at low angles of attack($0^{\circ}~5^{\circ}), Mach 20, and an altitude of 35km. The current bluntbody/afterbody space marching numerical method predicts the complex flowfields accurately and efficiently even on a small computer. The shock thickness from equilibrium air model is thinner than that from the perfect gas model. The windside wall heat-transfer rate, pressure and skin friction force were increased significantly when compared with those of leeside. The CA, CN, CM were increased almost linearly with the angle of attack in this region. The wall pressure, heat transfer, skin friction and axial force coeffient from equilibrium model were much higher than those from perfect gas model. The center of pressure moved forward with the increase of angle of attack.

Slip Considered Design and Analysis Pincers-type Gripper for Seizing Heavy-weighted Cylindrical Objects (고중량의 원통형 작업대상물 파지용 집게형 그리퍼의 슬립 조건과 이를 반영한 설계 및 해석)

  • Choi, Jung Hyun;An, Jinung;Lee, Sang Mun;Jang, Myeong Eon
    • The Journal of Korea Robotics Society
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    • v.10 no.4
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    • pp.193-199
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    • 2015
  • This paper dealt with a pincers-type gripper being able to grip a heavy-weighted cylindrical object having various size with itself. This gripper should be designed to seize the objects without any change of jaw shape. Grasping achieved equilibrium after the object slipped on the jaw while grasping it. To cope with this situation, we suggested the slip considered gripper design procedure based on grasping equilibrium. The obtained slip condition can provide a limit friction coefficient depending on the contact angle when initiating contact between jaw and object. Consequently, the gripping force and the required actuating force can be calculated. In order to verify the proposed slip condition, the simulations were performed using a dynamic software.

The Sectional Analysis of Trunk-lid using the Equilibrium Approach and Three-Dimensional Shape Composition (평형해법을 이용한 트렁크 리드의 단면해석과 3차원 형상합성)

  • 정동원
    • Journal of Ocean Engineering and Technology
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    • v.15 no.2
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    • pp.66-71
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    • 2001
  • A sectional analysis of trunk-lid carried out by using the equilibrium approach based on the force balance together with geometric relations and plasticity theory. In computing a force balance equation, it is required to define a geometric curve approximating the shape of sheet metal at any step of deformation from the interaction between the die and the deformed sheet. The trunk-lid panel material is assumed to possess normal anisotropy and to obey Hill's new yield criterion. Deformation of each section of trunk-lid panel is simulated and composed to get the three-dimensional shape by using CAD technique. It was shown that the three-dimensional shape composition of the two-dimensional analysis.

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The Design of Radial Magnetic Force Equilibrium for Reduction of Vibration in IPM Type BLDC Motor (진동 저감을 위한 IPM type BLDC 전동기의 가진력 평형화 설계)

  • Lee, Gyeong-Deuk;Lee, Won-Sik;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.2
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    • pp.298-303
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    • 2016
  • In this paper, the vibration source of IPM type BLDC motor was analyzed by finite element method. The main causes of the electrical vibration were RMF(Radial magnetic force) and cogging torque. It was designed model of minimized cogging torque and RMF equilibrium. Design models were selected the optimum model using the design of experiment method. And, the vibration experiment was carried out through prototype machine of each model. Finally, the experimental results were compared with the analysis ones.

Linear Form Finding Approach for Regular and Irregular Single Layer Prism Tensegrity

  • Moghaddas, Mohammad;Choong, Kok Keong;Kim, Jae-Yeol;Kang, Joo-Won
    • International journal of steel structures
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    • v.18 no.5
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    • pp.1654-1665
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    • 2018
  • In an irregular prism tensegrity, the number of force equilibrium equations is less than the number of unknown parameters of nodal coordinates and member force ratios. As a result, the form-finding process normally becomes nonlinear with additional conditions or needs to be carried out with the use of iterative procedures. For cases of irregular prism tensegrity which involves large number of members, it was found that previously proposed methods of form-finding are not practical. Moreover, there is a need for a form-finding approach which is able to cater to different requirements on final configuration. In this paper, the length relation condition is introduced to be used in combination with the force equilibrium equation. With the combined use of length relation and equilibrium conditions, a linear form-finding approach for irregular prism tensegrity was successfully formulated and developed. An easy-to-use interactive form-finding tool has been developed which can be used for form-finding of irregular prism tensegrities with large number of elements as well as under diverse specific requirements on their configurations.

Effects of Prestressing Force on the Natural Frequency of a PSC Beam (PSC 보의 고유진동수에 미치는 긴장력의 영향)

  • Koo Min-Se;Lee Ho-Kyung;Lee Ju-Beom
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.408-415
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    • 2005
  • Existing results of some related experiments report that variation in the magnitude of prestressing force may leads to a change of dynamic properties of a PSC girder system. Since a usual dynamic equilibrium equation doesn't explain these phenomena, a modified dynamic equilibrium equation is derived in this paper by considering prestressing force as an internal energy of the system. The derived equation is applied to a modified beam element model is proposed. The proposed model validated by comparing the natural frequencies computed by the model with those from an existing experiment result.

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Development of a Procedure to Calculate Principal Internal Forces for the Strength Design of a Forklift Truck Brake System (지게차량 제동장치 시스템 강도설계를 위한 주요 내력 계산 프로시져 개발)

  • 유홍희;박근배
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.5
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    • pp.27-36
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    • 1997
  • For the strength design of the brake system of a forklift truck, a procedure to calculate the internal forces acting on the system is presented in this paper. Vehicle dynamics, brake system kinematics, and internal force equilibrium analysis are integrated into the procedure. Design parameters such as stopping distance, maximum decceleration, and maximum torque generated by pedal force are considered in the vehicle dynamics, and geometric parameters of the brake system are considered in the brake system kinematics. With the two analysis results obtained, the internal forces acting in the brake system are finally calculated in the procedure.

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