• Earthquakes and Structures
• /
• 제2권1호
• /
• pp.89-107
• /
• 2011

In this paper a simple mathematical model is presented for estimating the natural frequencies and corresponding mode shapes of a tall building with outrigger-belt truss system. For this purposes an equivalent continuum system is analyzed in which a tall building structure is replaced by an idealized cantilever continuum beam representing the structural characteristics. The equivalent system is comprised of a cantilever shear beam in parallel to a cantilever flexural beam that is constrained by a rotational spring at outrigger-belt truss location. The mathematical modeling and the derivation of the equation of motion are given for the cantilevers with identically paralleled and rotational spring. The equation of motion and the associated boundary conditions are analytically obtained by using Hamilton's variational principle. After obtaining non-trivial solution of the eigensystem, the resulting is used to determine the natural frequencies and associated mode shapes of free vibration analysis. A numerical example for a 40 story tall building has been solved with proposed method and finite element method. The results of the proposed mathematical model have good adaptation with those obtained from finite element analysis. Proposed model is practically suitable for quick evaluations during the preliminary design stages.

• Advances in Computational Design
• /
• 제7권1호
• /
• pp.19-35
• /
• 2022

In this paper, the optimum location of the belt truss-outrigger for a combined system of framed tube, shear core and outrigger-belt truss is calculated. The optimum location is determined by maximization of the first natural frequency. The framed tube is modeled using a non-prismatic cantilever beam with hollow box cross section. The governing differential equation is solved using the weak form integral equations and the natural frequencies of the structure are calculated. The graphs are introduced for quick calculation of the first natural frequency. The location of the belt truss-outrigger that maximizes the first natural frequency of the structure is introduced as an optimum location. The structure is modeled using SAP-2000 finite elements software. In the modelling, the location of the belt truss-outrigger is changed along the height of the structure. With various locations of the outrigger, the lateral deflection of the all stories and axial force in the columns of the outer tube are calculated. The analysis is repeated by locating the outrigger-belt truss at the optimum location. The analysis results are compared and effect of the optimum location on the lateral deflection and the shear lag phenomena are investigated.

• Steel and Composite Structures
• /
• 제1권3호
• /
• pp.329-340
• /
• 2001

Cyclic response of "shear" connections between steel outrigger beams and reinforced concrete core walls is presented in this paper. The connections investigated in this paper consisted of a shear tab welded onto a plate that was connected to the core walls through multiple headed studs. The experimental data from six specimens point to a capacity larger than the design value. However, the mode of failure was through pullout of the embedded plate, or fracture of the weld between the studs and plate. Such brittle modes of failure need to be avoided through proper design. A capacity design method based on dissipating the input energy through yielding and fracture of the shear tab was developed. This approach requires a good understanding of the expected capacity of headed studs under combined gravity shear and cyclic axial load (tension and compression). A model was developed and verified against test results from six specimens. A specimen designed based on the proposed design methodology performed very well, and the connection did not fail until shear tab fractured after extensive yielding. The proposed design method is recommended for design of outrigger beam-wall connections.

• 한국전산구조공학회논문집
• /
• 제31권6호
• /
• pp.293-299
• /
• 2018

초고층 건물의 횡변위 제어를 위하여 사용되는 아웃리거를 기존의 철골 트러스 대신에 철근콘크리트 벽체로 대체할 수 있다. 철근콘크리트 아웃리거 벽체를 외부 기둥에 연결할 경우에는 축력뿐만 아니라 전단력과 모멘트가 외부 기둥에 유발될 수 있다. 본 연구에서는 아웃리거 벽체 외단부의 회전으로 인한 외부 기둥의 전단력을 수식으로 유도하고 그 값을 유한요소 해석 결과와 비교하였다. 유한요소해석에서는 층별 연결보의 효과와 전단벽과 아웃리거를 보와 평면응력요소로 모델링한 효과를 분석하였다. 층별 연결보의 효과는 거의 없었으며 평면응력요소는 보요소보다 더 큰 강성을 가진 것으로 해석되었다. 아웃리거 벽체의 외단부 회전으로 인한 외부기둥의 층간 회전각과 전단력은 허용값에 비하여 상당히 작은 값이 발생하였다. 따라서 초고층 건물에 철근콘크리트로 된 아웃리거 벽체를 적용할 경우에도 외부 기둥에 유발되는 전단력과 모멘트에 대하여 별도의 검토를 할 필요는 없을 것으로 판단된다.

• 한국전산구조공학회논문집
• /
• 제33권4호
• /
• pp.217-224
• /
• 2020

본 논문에서는 초고층 건물의 철근콘크리트 아웃리거 벽체 개구부의 최적설계를 위한 수학적 최적화 프레임워크를 제시하였다. 전용 유한요소해석 프로그램을 이용하여 아웃리거 벽체를 해석하였으며 깊은 보의 스트럿-타이 거동을 고려하여 개구부를 배치하였다. 최적화를 위해 파이썬 SciPy 라이브러리 중 순차이차계획법(Sequential Quadratic Programming)을 이용하여 제약 경계 최적화를 수행하였다. 최적화에 필요한 미분가능한 연속 함수를 얻어내기 위해 선형 보간법을 사용하였으며, 최적화 프로그램의 효율성을 위해 데이터베이스를 이용하였다. 2변수 최적화의 결과를 탐색 알고리즘의 이동 경로를 통해 살펴본 결과 알고리즘이 최적화된 결과를 효율적으로 찾아냄을 확인하였다. 그리고 개구부의 폭을 모두 같게 설정한 것이 아닌 각각의 개구부의 크기를 개별 변수로 설정하였을 경우 목적함수의 값이 최소화되어 더 우수한 최적화 결과를 도출함을 확인하였다. 또한, 최적화의 과정에 있어 데이터베이스를 이용할 경우 최적화 시간을 효과적으로 단축시킬 수 있음을 확인하였다.

• Structural Engineering and Mechanics
• /
• 제40권1호
• /
• pp.65-84
• /
• 2011

In this paper a simple mathematical model for approximate static analysis of combined system of framed tube, shear core and two outrigger-belt truss structures subjected to lateral loads is presented. In the proposed methodology, framed tube is modeled as a cantilevered beam with a box section and interaction between shear core and outrigger-belt truss system with framed tube is modeled using torsional springs placed at location of outrigger-belt truss; these torsional springs act in a direction opposite to rotation generated by lateral loads. The effect of shear lag on axial deformation in flange is quadratic and in web it is a cubic function of geometry. Here the total energy of the combined system is minimized with respect to lateral deflection and rotation in plane section. Solution of the resulting equilibrium equations yields the unknown coefficients of shear lag along with the stress and displacement distributions. The results of a numerical example, 50 storey building subjected to three different types of lateral loading obtained from SAP2000 are compared to those of the proposed method and the differences are found to be reasonable. The proposed method can be used during the preliminary design stages of a tall building and can provide a better understanding of the effects of various parameters on the overall structural behavior.

• 국제초고층학회논문집
• /
• 제7권3호
• /
• pp.223-232
• /
• 2018

Two novel types of construction detailings, including using the distributive beam and the inner ring diaphragm in the joint between large-section CFT columns and outrigger truss to enhance the transferring efficiency of huge vertical load, and using the T-shaped stiffeners in the steel tube of large-section CFT columns to promote the local buckling capacity of steel tubes, were tested to investigate their working mechanism and design methods. Experimental results show that the co-working performance between steel tube and inner concrete could be significantly improved by setting the distributive beam and the inner ring diaphragm which can transfer the vertical load directly in the large-section CFT columns. Meanwhile, the T-shaped stiffeners are very helpful to improve the local bulking performance of steel tubes in the column components by the composite action of T-shaped stiffeners together with the core concrete under the range of flange of T-shaped stiffeners. These two approaches can result in a lower steel cost in comparison to normal steel reinforced concrete columns. Finally, a practical engineering case was introduced to illustrate the economy benefits achieved by using the two typical detailings.

• 국제초고층학회논문집
• /
• 제9권2호
• /
• pp.167-173
• /
• 2020

W-Project is 60-story mixed-use residential building complex project in Daegu, the third biggest city in South Korea. There are lots explorable items to be solved to secure structural safety and meet the serviceability requirements. This paper describes what kind of structural system is optimized based on the architectural requirements and structural components design and the grade of concrete strength altered on floors. The defining process of lateral resisting system of outrigger compared to the core ratio of typical plan is illustrated in detail.