• 제목/요약/키워드: Rigid method

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Seismic response of a rigid foundation embedded in a viscoelastic soil by taking into account the soil-foundation interaction

  • Messioud, Salah;Sbartai, Badreddine;Dias, Daniel
    • Structural Engineering and Mechanics
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    • v.58 no.5
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    • pp.887-903
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    • 2016
  • This study analyses the seismic response of a three-dimensional (3-D) rigid massless square foundation resting or embedded in a viscoelastic soil limited by rigid bedrock. The foundation is subjected to harmonic oblique seismic waves P, SV, SH and R. The key step is the characterization of the soil-foundation interaction by computing the impedance matrix and the input motion matrix. A 3-D frequency boundary element method (BEM) in conjunction with the thin layer method (TLM) is adapted for the seismic analysis of the foundation. The dynamic response of the rigid foundation is solved from the wave equations by taking into account the soil-foundation interaction. The solution is formulated using the frequency BEM with the Green's function obtained from the TLM. This approach has been applied to analyze the effect of soilstructure interaction on the seismic response of the foundation as a function of the kind of incident waves, the angles of incident waves, the wave's frequencies and the embedding of foundation. The parametric results show that the non-vertical incident waves, the embedment of foundation, and the wave's frequencies have important impact on the dynamic response of rigid foundations.

Dynamic analysis of deployable structures using independent displacement modes based on Moore-Penrose generalized inverse matrix

  • Xiang, Ping;Wu, Minger;Zhou, Rui Q.
    • Structural Engineering and Mechanics
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    • v.54 no.6
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    • pp.1153-1174
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    • 2015
  • Deployable structures have gained more and more applications in space and civil structures, while it takes a large amount of computational resources to analyze this kind of multibody systems using common analysis methods. This paper presents a new approach for dynamic analysis of multibody systems consisting of both rigid bars and arbitrarily shaped rigid bodies. The bars and rigid bodies are connected through their nodes by ideal pin joints, which are usually fundamental components of deployable structures. Utilizing the Moore-Penrose generalized inverse matrix, equations of motion and constraint equations of the bars and rigid bodies are formulated with nodal Cartesian coordinates as unknowns. Based on the constraint equations, the nodal displacements are expressed as linear combination of the independent modes of the rigid body displacements, i.e., the null space orthogonal basis of the constraint matrix. The proposed method has less unknowns and a simple formulation compared with common multibody dynamic methods. An analysis program for the proposed method is developed, and its validity and efficiency are investigated by analyses of several representative numerical examples, where good accuracy and efficiency are demonstrated through comparison with commercial software package ADAMS.

Design of Mat Foundation by Simplified Flexible Method Using Regression Analysis (회귀분석을 이용한 단순화된 연성법에 의한 전면기초의 설계)

  • Moon, Kyoungtae;Park, Sangyeol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.1
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    • pp.153-164
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    • 2015
  • The methods of design of mat foundation may be classified as the rigid method and the flexible method according to the assumptions used. In the rigid method, the mat is assumed to be infinitely rigid and the contact pressure is assumed planar distribution. However, the contact pressure is not planar but curved surface because the real mat is not rigid. Therefore, it is not precise to analyze the mat foundation using the rigid method, and so there is no choice but to accept an error. On the other hand, in the flexible method, the mat is considered as the plate on the elastic foundation. This elastic plate theory is for the infinite plate acting a concentrated load on the elastic foundation. However, the functions for the moment, shear, and the deflection by the flexible method are very complex, there are many difficulties for the designer to use them. Also, it is impossible to use the design aid figures as a substitute of the complex functions, because they do not cover the values at the critical sections for the moment and shear. Therefore, in this research, the simplified functions for the moment, shear, and the deflection are proposed by regression analysis for an designer to use easily the flexible method. The simplified functions are very accurate and very ease to use.

Modelling and experiment of semi rigid joint between composite beam and square CFDST column

  • Guo, Lei;Wang, Jingfeng;Zhang, Meng
    • Steel and Composite Structures
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    • v.34 no.6
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    • pp.803-818
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    • 2020
  • Semi-rigid connections with blind bolts could solve the difficulty that traditional high strength bolts were unavailable to splice a steel/composite beam to a closed section column. However, insufficient investigations have focused on the performance of semi-rigid connection to square concrete filled double-skin steel tubular (CFDST) columns. In this paper, a component model was developed to evaluate the mechanical behavior of semi-rigid composite connections to CFDST columns considering the stiffness and strength of column face in compression and column web in shear which were determined by the load transfer mechanism and superstition method. Then, experimental investigations on blind bolted composite joints to square CFDST columns were conducted to validate the accuracy of the component model. Dominant failure modes of the connections were analyzed and this type of joint behaved semi-rigid manner. More importantly, strain responses of CFDST column web and tubes verified that stiffness and strength of column face in compression and column web in shear significantly affected the connection mechanical behavior owing to the hollow part of the cross-section for CFDST column. The experimental and analytical results showed that the CFDST column to steel-concrete composite beam semi-rigid joints could be employed for the assembled structures in high intensity seismic regions.

Molecular Dynamics Simulation Studies of Zeolite A. Ⅶ. Structure and Dynamics of $H^+$ ions in a Nom-Rigid Dehydrated H12-A Zeolite Framework

  • 이송희;최상구
    • Bulletin of the Korean Chemical Society
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    • v.20 no.3
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    • pp.285-290
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    • 1999
  • In the present paper, we report a molecular dynamics (MD) simulation study for the structure and dynamics of H+ ions in non-rigid dehydrated H12-A zeolite framework at 298.15 K, using the same method we used in our previous studies of rigid and non-rigid zeolite-A frameworks. It is found that two different structures appear, depending on the choice of the Lennard-Jones parameter (σ) for the H+ ion, as is also observed in the study of rigid dehydrated H12-A zeolite framework, but the ranges of σ are different for the two structures. It is also found that some of the H+ ions exchanged their sites without changing the number of H+ ions at each site. The agreement between experimental and calculated structural parameters for non-rigid dehydrated H12-A zeolite is generally quite good. The calculated IR spectrum by Fourier transform of the total dipole moment auto-correlation function shows two major peaks, one around 2700 cm-1 and the other around 7000 cm-1. The former appears in the calculated IR spectra of non-rigid zeolite-A framework only system and the latter remains unexplained except, perhaps, as an indication of a new formation of a vibrational mode of the framework due to the adsorption of the H+ ions.

Structural System Reliability Analysis of Semi-rigid Connected Frame - Focused on Plastic Greenhouse - (반강결 프레임 구조물의 시스템 신뢰성 해석 - 비닐하우스를 중심으로 -)

  • Lee, Sangik;Lee, Jonghyuk;Jeong, Youngjoon;Kim, Dongsu;Seo, Byunghun;Seo, Yejin;Choi, Won
    • Journal of The Korean Society of Agricultural Engineers
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    • v.64 no.5
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    • pp.67-77
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    • 2022
  • Recently, the trend in structural analysis and design is moving towards the development of reliable system. The reliability-based method defines various limit states related to usability and failure, thereby enabling multiple levels of design according to the importance of a structure. Meanwhile, an actual structure is composed of a set of several elements, and particularly, a frame type is composed of a system in which the members are connected each other. At this time, the actual connection between members is in a semi-rigid condition, not in complete rigid or hinged. This semi-rigid is found in several structures, especially in agricultural facilities designed with lightweight materials. In this study, a system reliability analysis technique for frame structure was established, and applied to an analysis of the semi-rigid connection. Various conditions of correlation were applied to reflect the connectivity between members, and through this, the limitations of existing structural analysis method and the behavioral characteristics of structure were analyzed. The failure probability of the frame member component and the overall structure system was significantly different in consideration of the semi-rigid connection. In addition, it was evaluated that the behavior of structure can be more accurately analyzed if the correlation according to the position of members in a system is further investigated.

GROUP THEORY FOR TETRAAMMINEPLATINUM(II) WITH $C_{2v}\;AN;C_{4v}$ POINT GROUP IN THE NON-RIGID SYSTEM

  • Ashrafi, Ali-Reza;Hamadanian, Masood
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.289-303
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    • 2004
  • The non-rigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is a new field of chemistry. Smeyers in a series of papers applied this notion to determine the character table of restricted NRG of some molecules. In this work, a simple method is described, by means of which it is possible to calculate character tables for the symmetry group of molecules consisting of a number of NH3 groups attached to a rigid framework. We study the full non-rigid group (f-NRG) of tetraammineplatinum(II) with two separate symmetry groups C2v and C4v. We prove that they are groups of order 216 and 5184 with 27 and 45 conjugacy classes, respectively. Also, we will compute the character tables of these groups.

Numerical Simulation of Acoustic Field Interacting between a Vortex Ring and a Rigid Sphere (원형 고리와와 강체구의 상호작용에 의한 음향장 수치해석)

  • 유기완;이덕주
    • Journal of KSNVE
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    • v.7 no.2
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    • pp.215-222
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    • 1997
  • The flow and acoustic fields due to a vortex ring interaction with a rigid sphere are simulated numerically. The flow field is regarded as three-dimensional inviscid and incompressible. The vorticity is assumed to be concentrated inside the finite core of vortex filament. The vortex filament curve, described by parabolic blending curve function, is used to effectively solve the modified Biot-Savart equation. The interaction between a vortex ring and a rigid sphere using the parabolic blending curve is calculated. The trajectory of the vortex ring is obtained with several different initial positions between the ring and the sphere. The force variations acting on the sphere are calculated by using the boundary integral method. Finally, we can also obtain the acoustic signals at the far field observation positions from the force variations acting on the rigid surface. We can find that the dipole axis of the directivity patterns are rotated during the interacting phenomena.

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Inelastic Buckling Analysis of Semi-rigid Frames with Shear Deformations by Haringx's Theories (Haringx의 전단변형 이론을 고려한 부분강절 뼈대구조의 비탄성 좌굴해석)

  • Min, Byoung-Cheol
    • Journal of the Korean Society of Safety
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    • v.29 no.3
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    • pp.64-71
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    • 2014
  • The generalized tangential stiffness matrix of semi-rigid frame element with shear deformations based on Haringx's shear theory is newly derived and compared with the previous study based on Engesser's shear theory. Also, linearized elastic and geometric stiffness matrices are newly presented from the exact tangential stiffness matrix. In oder to obtain the inelastic system buckling load of shear flexible semi-rigid frame structure, the Ef method by tangential modulus theory is adopted and the FE analysis programs are developed. Finally, the shear and semi-rigid effects of system bucking are investigated by two numerical examples.

Second-Order Elastic Analysis and Optimum Design Considering Semi-Rigid Connection for Steel Structures (반강접 접합부를 고려한 철골 구조물의 2차 탄성 해석 및 최적설계)

  • Gu, Bon-Ryul;Park, Choon-Wook;Kang, Sung-Won;Kang, Moon-Myung
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.1 s.7
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    • pp.35-46
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    • 2003
  • Conventional analysis and design of steel structures are performed using the assumption of a either fully rigid or pinned. However, every steel connection lies in between fully rigid and pinned connection. So, It is important to consider the connection for steel structure design. In this paper Computer-based second-order elastic analysis is used to calculate one story two bay and two story three bay for steel structures with semi-rigid connection. Genetic Algorithms(GAs) and Sequential Unconstrained Minized Technique(SUMT) dynamic programming is used to the method for optimum design of steel structures. The efficiency and validity of the developed continuous and discrete optimum design algorithm was verified by applying the algorithm to optimum design examples.

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