• Title/Summary/Keyword: non-linear problem

Search Result 678, Processing Time 0.028 seconds

A Study on Building Envelope and Formation of Flexible Boundary - Focused on Contemporary Architecture of Toyo Ito and SANAA - (외피 구조를 통한 경계의 유연성 형성에 관한 연구 - 토요 이토와 SANAA의 현대 건축을 중심으로 -)

  • Choe, San-Ki
    • Korean Institute of Interior Design Journal
    • /
    • v.19 no.2
    • /
    • pp.81-89
    • /
    • 2010
  • The problem of defining the relationship between interior space and exterior envelope of a building has long been a challenging task in the field of architecture throughout its history. This research chronologically reviews some of the important turning points in various schools of thoughts concerning construction of exterior envelope, with focus on how they influenced and altered the formation of our interior environment. This research also stipulates on how technological advance in the late 20th century laid grounds for a new type of interior-exterior relations in architecture through creation of flexible and ambiguous boundary conditions. The focus of this qualitative research will be on contemporary works of Japanese architects Toyo Ito, SANAA, and related group of architects who address the issues of transparency, flexible interior layout, buffer zones, structural facade, and neutralized (homogeneous) space that produces spatial quality of non-linear, non-hierarchical, and de-materialized space as a direct alternative to modern principles of space making.

EXISTENCE OF WEAK NON-NEGATIVE SOLUTIONS FOR A CLASS OF NONUNIFORMLY BOUNDARY VALUE PROBLEM

  • Hang, Trinh Thi Minh;Toan, Hoang Quoc
    • Bulletin of the Korean Mathematical Society
    • /
    • v.49 no.4
    • /
    • pp.737-748
    • /
    • 2012
  • The goal of this paper is to study the existence of non-trivial non-negative weak solution for the nonlinear elliptic equation: $$-div(h(x){\nabla}u)=f(x,u)\;in\;{\Omega}$$ with Dirichlet boundary condition in a bounded domain ${\Omega}{\subset}\mathbb{R}^N$, $N{\geq}3$, where $h(x){\in}L^1_{loc}({\Omega})$, $f(x,s)$ has asymptotically linear behavior. The solutions will be obtained in a subspace of the space $H^1_0({\Omega})$ and the proofs rely essentially on a variation of the mountain pass theorem in [12].

Existence and Non-Existence of Positive Solutions of BVPs for Singular ODEs on Whole Lines

  • LIU, YUJI;YANG, PINGHUA
    • Kyungpook Mathematical Journal
    • /
    • v.55 no.4
    • /
    • pp.997-1030
    • /
    • 2015
  • This paper is concerned with integral type boundary value problems of second order singular differential equations with quasi-Laplacian on whole lines. Sufficient conditions to guarantee the existence and non-existence of positive solutions are established. The emphasis is put on the non-linear term $[{\Phi}({\rho}(t)x^{\prime}(t))]^{\prime}$ involved with the nonnegative singular function and the singular nonlinearity term f in differential equations. Two examples are given to illustrate the main results.

H State Estimation of Static Delayed Neural Networks with Non-fragile Sampled-data Control (비결함 샘플 데이타 제어를 가지는 정적 지연 뉴럴 네트웍의 강인 상태추정)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.66 no.1
    • /
    • pp.171-178
    • /
    • 2017
  • This paper studies the state estimation problem for static neural networks with time-varying delay. Unlike other studies, the controller scheme, which involves time-varying sampling and uncertainties, is first employed to design the state estimator for delayed static neural networks. Based on Lyapunov functional approach and linear matrix inequality technique, the non-fragile sampled-data estimator is designed such that the resulting estimation error system is globally asymptotically stable with $H_{\infty}$ performance. Finally, the effectiveness of the developed results is demonstrated by a numerical example.

Non-tubular bonded joint under torsion: Theory and numerical validation

  • Pugno, Nicola;Surace, Giuseppe
    • Structural Engineering and Mechanics
    • /
    • v.10 no.2
    • /
    • pp.125-138
    • /
    • 2000
  • The paper analyzes the problem of torsion in an adhesive non-tubular bonded single-lap joint. The joint considered consists of two thin rectangular section beams bonded together along a side surface. Assuming the materials involved to be governed by linear elastic laws, equilibrium and compatibility equations were used to arrive at an integro-differential relation whose solution makes it possible to determine torsional moment section by section in the bonded joint between the two beams. This is then used to determine the predominant stress and strain field at the beam-adhesive interface (stress field along the direction perpendicular to the interface plane, equivalent to the applied torsional moment and the corresponding strain field) and the joint's elastic strain (absolute and relative rotations of the bonded beam cross sections). All the relations presented were obtained in closed form. Results obtained theoretically are compared with those given by a three dimensional finite element numerical model. Theoretical and numerical analysis agree satisfactorily.

Post-buckling analysis of Timoshenko beams made of functionally graded material under thermal loading

  • Kocaturk, Turgut;Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
    • /
    • v.41 no.6
    • /
    • pp.775-789
    • /
    • 2012
  • This paper focuses on post-buckling analysis of functionally graded Timoshenko beam subjected to thermal loading by using the total Lagrangian Timoshenko beam element approximation. Material properties of the beam change in the thickness direction according to a power-law function. The beam is clamped at both ends. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. As far as the authors know, there is no study on the post-buckling analysis of functionally graded Timoshenko beams under thermal loading considering full geometric non-linearity investigated by using finite element method. The convergence studies are made and the obtained results are compared with the published results. In the study, with the effects of material gradient property and thermal load, the relationships between deflections, end constraint forces, thermal buckling configuration and stress distributions through the thickness of the beams are illustrated in detail in post-buckling case.

Apply evolved grey-prediction scheme to structural building dynamic analysis

  • Z.Y. Chen;Yahui Meng;Ruei-Yuan Wang;Timothy Chen
    • Structural Engineering and Mechanics
    • /
    • v.90 no.1
    • /
    • pp.19-26
    • /
    • 2024
  • In recent years, an increasing number of experimental studies have shown that the practical application of mature active control systems requires consideration of robustness criteria in the design process, including the reduction of tracking errors, operational resistance to external disturbances, and measurement noise, as well as robustness and stability. Good uncertainty prediction is thus proposed to solve problems caused by poor parameter selection and to remove the effects of dynamic coupling between degrees of freedom (DOF) in nonlinear systems. To overcome the stability problem, this study develops an advanced adaptive predictive fuzzy controller, which not only solves the programming problem of determining system stability but also uses the law of linear matrix inequality (LMI) to modify the fuzzy problem. The following parameters are used to manipulate the fuzzy controller of the robotic system to improve its control performance. The simulations for system uncertainty in the controller design emphasized the use of acceleration feedback for practical reasons. The simulation results also show that the proposed H∞ controller has excellent performance and reliability, and the effectiveness of the LMI-based method is also recognized. Therefore, this dynamic control method is suitable for seismic protection of civil buildings. The objectives of this document are access to adequate, safe, and affordable housing and basic services, promotion of inclusive and sustainable urbanization, implementation of sustainable disaster-resilient construction, sustainable planning, and sustainable management of human settlements. Simulation results of linear and non-linear structures demonstrate the ability of this method to identify structures and their changes due to damage. Therefore, with the continuous development of artificial intelligence and fuzzy theory, it seems that this goal will be achieved in the near future.

Delay-dependent and Parameter-dependent Robust Stability for Discrete-time Delayed Uncertain Singular Systems (이산시간 지연 불확실 특이시스템의 지연 종속 및 변수 종속 강인 안정성)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.59 no.4
    • /
    • pp.788-792
    • /
    • 2010
  • The problem of delay-dependent and parameter-dependent robust stability condition for discrete-time uncertain singular systems with polytopic uncertainty and interval time-varying delay is considered. A new robust stability condition based on parameter-dependent Lyapunov function is derived in terms of LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general condition for both singular and non-singular systems. A numerical example is presented to demonstrate the effectiveness of the proposed method.

Analysis of the Complementary Clipping Transform technique for the PAPR reduction of OFDM system (OFDM PAPR reduction을 위한 Complementary Clipping Transform 성능 분석)

  • Won, Seong-Ho
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
    • /
    • 2005.11a
    • /
    • pp.57-62
    • /
    • 2005
  • In spite of many advantages of OFDM, a major drawback for implementation is a non-linear distortion in the HPA due to a high PAPR problem. In this paper, the Complementary Clipping Transform technique (CCT) for the PAPR reduction of OFDM system is analyzed for the QPSK and QAM mapping data. BER performance and PSD in front of HPA and after HPA are analytically demonstrated.

  • PDF

Modeling Optimal Lane Configuration at the Toll Plaza by Nonlinear Integer Programming Incorporated with an M/G/1 Queueing Process

  • Kim, Seong-Moon
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2006.11a
    • /
    • pp.403-406
    • /
    • 2006
  • This paper provides an M/G/1 queueing model for the operations management problem at the toll plaza. This queueing process is incorporated with two non-linear integer programming models - the user cost minimization model during the peak times and the operating cost minimization model during the off-peak hours.

  • PDF