• Title/Summary/Keyword: Equivalent Stiffness Matrix

Search Result 59, Processing Time 0.021 seconds

3-Dimensional Structure Analysis of a Barge (바아지의 3차원 구조해석(構造解析))

  • S.J.,Yim;S.R.,Cho
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.14 no.1
    • /
    • pp.11-17
    • /
    • 1977
  • In order to design safer and more economical ship structures, theoretical structure analysis of entire vessel is desirable. This paper describes the application of the Direct Stiffness Method to ship structures for calculation of forces and moments which act on each part of ship structures. Before application of this method, ship structures have to be replaced with equivalent space frame. Emphasis is placed on the division of total stiffness matrix of entire vessel. Floating barge, of which principal dimensions are $L{\times}B{\times}D=16M{\times}10M{\times}2M$, is taken as calculation sample. The conclusion of this paper is that, in initial stage of ship structure design, the Direct Stiffness Method by Division can be applied to determine frame-space and scantlings of members.

  • PDF

Preliminary Structural Design of Wall-Frame Systems for Optimum Torsional Response

  • Georgoussis, George K.
    • International Journal of Concrete Structures and Materials
    • /
    • v.11 no.1
    • /
    • pp.45-58
    • /
    • 2017
  • Recent investigations have pointed out that current code provisions specifying that the stiffness of reinforced concrete elements is strength independent, and therefore can be estimated prior to any strength assignment, is incorrect. A strength allocation strategy, suitable for preliminary structural design of medium height wall-frame dual systems, is presented for allocating strength in such buildings and estimating the dependable rigidities. The design process may be implemented by either the approximate continuous approach or the stiffness matrix method. It is based on the concept of the inelastic equivalent single-degree-of-freedom system which, the last few years, has been used to implement the performance based seismic design. The aforesaid strategy may also be used to determine structural configurations of minimum rotation distortion. It is shown that when the location of the modal centre of rigidity, as described in author's recent papers, is within a close distance from the mass axis the torsional response is mitigated. The methodology is illustrated in ten story building configurations, whose torsional response is examined under the ground motion of Kobe 1995, component KJM000.

Finite Element Analysis Through Mechanical Property Test and Elasto-plastic Modeling of 2.5D Cf/SiCm Composite Analysis (2.5D Cf/SiCm 복합재의 기계적 물성 시험과 탄소성 모델링을 통한 유한요소해석)

  • Lee, MinJung;Kim, Yeontae;Lee, YeonGwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.48 no.9
    • /
    • pp.663-670
    • /
    • 2020
  • A study on mechanical property characterization and modeling technique was carried out to approximate the behaviour of structures with 2.5D C/SiC material. Several tensile tests were performed to analyze the behaviour characteristics of the 2.5D C/SiC material and elastic property was characterized by applying a mathematical homogenization and a modified rule of mixture. SiC matrix representing the elasto-plastic behavior approximates as a bilinear function. Then the equivalent yield strength and equivalent plastic stiffness were calculated by minimizing errors in experiment and approximation. RVE(Representative Volume Element)was defined from the fiber and matrix configuration of 2.5D C/SiC and a process of calculating the effective stiffness matrix by applying the modified rule of mixture to RVE was implemented in the ABAQUS User-defined subroutine. Finite element analysis was performed by applying the mechanical properties of fiber and matrix calculated based on the proposed process, and the results were in good agreement with the experimental results.

An absolute displacement approach for modeling of sliding structures

  • Krishnamoorthy, A.
    • Structural Engineering and Mechanics
    • /
    • v.29 no.6
    • /
    • pp.659-671
    • /
    • 2008
  • A procedure to analyse the space frame structure fixed at base as well as resting on sliding bearing using total or absolute displacement in dynamic equation is developed. In the present method, the effect of ground acceleration is not considered as equivalent force. Instead, the ground acceleration is considered as a known value in the acceleration vector at degree of freedom corresponding to base of the structure when the structure is in non-sliding phase. When the structure is in sliding phase, only a force equal to the maximum frictional resistance is applied at base. Also, in this method, the stiffness matrix, mass matrix and the damping matrix will not change when the structure enters from one phase to another. The results obtained from the present method using absolute displacement approach are compared with the results obtained from the analysis of structure using relative displacement approach. The applicability of the analysis is also demonstrated to obtain the response of the structure resting on sliding bearing with restoring force device.

A Computer Model for the Planar Effects of Concrete Pavements with Skewed Joints. (콘크리트 포장구조의 평면응력 해석을 위한 컴퓨터모델)

  • 조병완
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1989.10a
    • /
    • pp.15-18
    • /
    • 1989
  • The planar effects on the concrete pavements Is mainly due to the concrete shrinkage, subgrade friction, and thermal expansion or contraction. A complete understanding of analytical behavior of concrete pavement requires the development of computer model, stiffness matrix and equivalent nodal load matrices due to the effects mentioned above. A computer program, INPLANE II, has been written to evaluate the planar effects on concrete pavements. The planar effects determine to what degree the joint open and also help In determining factors which affect the joint stiffnesses and structural behavior of concrete Pavements.

  • PDF

Static and Natural Vibration Analyses of Bending Problems Using 5-Node Equivalent Element (5절점 상당요소에 의한 굽힘문제의 정적해석 및 자유진동해석)

  • Gwon, Young-Doo;Yun, Tae-Hyeok;Jeong, Seung-Kap;Park, Hyeon-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.4
    • /
    • pp.1320-1332
    • /
    • 1996
  • In the present study, we consider modified 5-node equivalent solid element which has smallest degree of freedom among 2-dimensional solid elements accounting bending deformation as well as extensional and shear deformations, We shall investigate static and dynamic characteristics of this element, which is very effective in thin beam, thick beam, large displacement problems, beam of variable thickness, and asymmetrically stepped beam, etc., as well as relatively simple problems of beam. The degree of freedom of this element is 10, which is smaller than 18 of 9-node element, 16 of 8-node elemtns, 12 of modified 6-node element and Q6 element. Therefore, this element is expected to broaden the effective range of application of the solid elements in the bending problems further.

Seismic Analysis of Flat Slab Structures considering Stiffness Degradation (강성저감을 고려한 플랫슬래브 구조물의 지진해석)

  • 김현수;이승재;이동근
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 2003.09a
    • /
    • pp.191-198
    • /
    • 2003
  • Flat slab system has been adopted in many buildings constructed recently because of the advantage of reduced floor heights to meet the economical and architectural demands. Structural engineers commonly use the equivalent frame method(EFM) with equivalent beams proposed by Jacob S. Grossman in practical engineering for the analysis of flat slab structures. However, in many cases, when it is difficult to use the EFM, it is necessary to use a refined finite element model for an accurate analysis. But it would take significant amount of computational time and memory if the entire building structure were subdivided into a finer mesh. An efficient analytical method is proposed in this study to obtain accurate results in significantly reduced computational time. The proposed method employs super elements developed using the matrix condensation technique and fictitious beams are used in the development of super elements to enforce the compatibility at the interfaces of super elements. The stiffness degradation of flat slab system considered in the EFM was taken into account by reducing the elastic modulus of floor slabs in this study. Static and dynamic analyses of example structures were peformed and the efficiency and accuracy of the proposed method were verified by comparing the results with those of the refined finite element model and the EFM.

  • PDF

Evaluation of Compressive Strength of Assembled Column System Reinforced with Cross-Arms and Stayed Struts (수평재 및 사재로 보강된 조립기둥시스템의 압축강도 평가)

  • Kim, Kyung Sik;Park, Hyun Yong
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.33 no.6
    • /
    • pp.2169-2179
    • /
    • 2013
  • The compressive strengths of simply supported columns may be significantly increased by reinforcing them with an assemblage of cross-arms and stayed struts connecting both ends of the columns and the cross-arm members. The purpose of the stayed struts and cross-arms is to introduce partial restraints against translation and rotation, thereby decreasing the effective buckling length of the column. In this study, buckling strengths of the assembled column system have been quantitatively evaluated from the theoretical methods based on both the equivalent spring model and the stiffness matrix formulation. And the results were compared with those from elastic/inelastic analysis using a finite element analysis package program, ABAQUS, for verification purpose. Expected compressive strength curves have been proposed for the assembled column system as a function of slenderness ratio of the simply supported column.

BWIM Using Measured Acceleration and Strain Data

  • Paik, In-Yeol;Lee, Seon-Dng;Shin, Soo-Bong
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.31 no.3
    • /
    • pp.233-245
    • /
    • 2011
  • A new BWIM(bridge weigh-in-motion) algorithm using both measured strain and acceleration data is proposed. To consider the effects of bridge vibration on the estimation of moving loads, the dynamic governing equation is applied with the known stiffness and mass properties but damping is ignored. Dynamic displacements are computed indirectly from the measured strains using the beam theory and accelerations are measured directly by accelerometers. To convert a unit moving load to its equivalent nodal force, a transformation matrix is determined. The incompleteness in the measured responses is considered in developing the algorithm. To examine the proposed BWIM algorithm, simulation studies, laboratory experiments and field tests were carried. In the simulation study, effects of measurement noise and estimation error in the vehicle speed on the results were investigated.

Vibrational Analysis of Rotor Model considering the Dynamic Characteristics of the Support Structure (지지구조물의 동특성을 고려한 회전축 모델의 진동해석)

  • Choe, Bok-Rok;Park, Jin-Mu
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.4
    • /
    • pp.555-563
    • /
    • 2001
  • Support dynamics are often important in rotordynamic analyses. It may well happen in real situation of machines such as centrifugal pumps or turbines operating on flexible structure. This paper presents the applications of the impedance coupling method and the improved rotor model for including the support effects on the interaction with the rotor. The impedance coupling techniques are based on the FRFs of each substructure. Its dynamic stiffness matrix can be assembled to generate the system matrix, which satisfy the constraint conditions in the connection coordinates. And, the improved rotor uses the simplified spring-mass models as support properties. The equivalent support models are directly incorporated into the finite element rotor model. To verify the suggested analytical procedures, the results are compared to those of the pump system.