• Title/Summary/Keyword: Elasticity problems

Search Result 220, Processing Time 0.026 seconds

Numerical methods for the dynamic analysis of masonry structures

  • Degl'Innocenti, Silvia;Padovani, Cristina;Pasquinelli, Giuseppe
    • Structural Engineering and Mechanics
    • /
    • v.22 no.1
    • /
    • pp.107-130
    • /
    • 2006
  • The paper deals with the numerical solution of the dynamic problem of masonry structures. Masonry is modelled as a non-linear elastic material with zero tensile strength and infinite compressive strength. Due to the non-linearity of the adopted constitutive equation, the equations of the motion must be integrated directly. In particular, we apply the Newmark or the Hilber-Hughes-Taylor methods implemented in code NOSA to perform the time integration of the system of ordinary differential equations obtained from discretising the structure into finite elements. Moreover, with the aim of evaluating the effectiveness of these two methods, some dynamic problems, whose explicit solutions are known, have been solved numerically. Comparisons between the exact solutions and the corresponding approximate solutions obtained via the Newmark and Hilber-Hughes-Taylor methods show that in the cases under consideration both numerical methods yield satisfactory results.

Concerning the tensor-based flexural formulation: Applications

  • Alhassan, Mohammed A.;Al-Rousan, Rajai Z.;Hejazi, Moheldeen A.
    • Structural Engineering and Mechanics
    • /
    • v.77 no.6
    • /
    • pp.765-777
    • /
    • 2021
  • Recently, the plate bending analysis has been interpreted in terms of the tensor's components of curvatures and bending moments by presenting the conceptual perspectives of the Hydrostatic Method of Analysis (HM) and theoretical formulations that combine the continuum mechanics with the graphical statics analysis, the theory of thin orthotropic and isotropic plates, and the elasticity theory. In pursuance of uncovering a genuine formulation of the plate's flexural differential equations, that possess the general-covariance and coordinates-independency. This study had then, tackled various natural and structural problems in both solid and fluid branches of the continuum mechanics in a description of such theoretical and conceptual attainment in uncovering the dimensional independent diffeomorphism covariant partial differential laws.

On the dynamics of hockey stick after contacting with the ball

  • Yue Jia
    • Advances in concrete construction
    • /
    • v.15 no.4
    • /
    • pp.287-301
    • /
    • 2023
  • Hockey games attracts many fans around the world. This game requires a specific type of ball and a stick for controlling the motion and trace of the ball. This control of motion involves hitting the ball which is a direct intensive dynamic loading. The impact load transferred directly to the hand of the player and in the professional player may cause long term medical problems. Therefore, dynamic motion of the stick should be understood. In the current study, we analyze the dynamic motion of a hockey stick under impact loading from a hockey ball. In doing so, the stick geometry is simplified as a beam structure and quasi-2D relations of displacement is applied along with classical linear elasticity theory for isotropic materials. The governing equations and natural boundary condition are extracted using Hamilton's principle. The final equations in terms of displacement components are solved using Galerkin's numerical method. The results are presented using indentation and contact force values for variations of different parameters.

Structural stability analysis of nonlocal Megneto-Electro-Elastic(MEE) nano plates on elastic foundation (탄성지반위에 놓인 비국소 자기-전기-탄성 나노 판의 구조안정해석)

  • Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.18 no.9
    • /
    • pp.52-60
    • /
    • 2017
  • This study examined the structural stability of nonlocal magneto-electro-elastic nano plates on elastic foundations using first-order shear deformation theory. Navier's method has been used to solve the buckling loads for all edges simply supported boundary conditions. On the other hand, biaxial buckling analysis of nano-plates has beenrarely studied. According to the Maxwell equation and the magneto-electro boundary condition, the change inthe magnetic and electric potential along the thickness direction of the magneto-electro-elastic nano plate wasdetermined. To reformulate the elasticity theory of the magneto- electro-elastic nano plate, the differential constitutive equation of Eringen was used and the governing equation of the nonlocal elasticity theory was studied using variational theory. The effects of the elastic foundation arebased on Pasternak's assumption. The relationship between nonlocal theory and local theory was analyzed through calculation results. In addition, structural stability problems were investigated according to the electric and magnetic potentials, nonlocal parameters, elastic foundation parameters, and side-to-thickness ratio. The results of the analysis revealedthe effects of the magnetic and electric potential. These calculations can be used to compare future research on new material structures made of magneto-electro-elastic materials.

Comparative Study on Compressive Strength of Concrete with New Sand-Cap and Neoprene Pad

  • Park, Young-Shik;Suh, Jin-Kook
    • International Journal of Concrete Structures and Materials
    • /
    • v.2 no.1
    • /
    • pp.15-19
    • /
    • 2008
  • The most typical capping method for concrete structures is a sulfur-mortar compound capping, provided it satisfied the standard criterion set forth by ASTM C 617, but this conventional bonded-type method has many problems. It exhibits relatively the smaller unreliable value of the strength of high-strength concrete due to the differences of elasticity and strength between the cylinder and the cap, and manifests poor serviceability such as dangerous working tasks or a waste of the working time. To prevent these problems, unbonded-type capping methods have taken the place of the conventional methods in recent years. One of the popular methods is the use of synthetic rubber like a neoprene pad. Serious problems still remain in this method, which include the consideration of its chemical characteristics in consideration of the selection, the safekeeping and the economy of the pads. Moreover, the synthetic rubber pads cannot be used in concrete cylinder with strength greater than 80 MPa according to ASTM C 1231-00. New 'sand-capping method' presented in this study, can be applicable to the compressive strength evaluation of the high strength concrete in the range of $70{\sim}100\;MPa$. This new method has better simplicity and reliability than those of existing 'sand-box', because usual materials such as standard sand and simply-devised apparatus are used for the capping system. The statistical analysis of the test results revealed that the new sand-capping method exhibited the smallest deviation and dispersion, attesting for its much better reliability than other methods specified in ASTM C 1231/1231M.

A Study on the Improvement of The Down Town Residential Tendency for ESSD -The Case of Teagu City- (지속가능한 개발을 위한 도심공간 정주성 제고에 관한 연구 -대구시를 중심으로-)

  • 이상광;임준흥
    • Journal of the Korean housing association
    • /
    • v.11 no.2
    • /
    • pp.1-12
    • /
    • 2000
  • Down-town community is an essential element for ESSD. But the population of down-town has been decreased since 1990's. Therefore this study is about how to improve the down-town residential tendency through the civic research, examination of related policies and legal system. And the result is as follows. First, Taegu has lots of problems as a residential space, that are caused by bad residential environment. They also, however, represent the validity of arrangement of down-town community and we could find the possibility for development. Second, Japan perceived the importance of down-town community and a great deal of effort was done to save residential space with various programs. But it is ignored in Korea for economic reason. Therefore we need to change our view of Down-town residence. Third, the role of government, people and specialist are important for the improvement of Down-town community. 1) The central government and ask its responsibility. 2) The local government makes the best use of present laws and is required of management with elasticity in favor of the regional character. And it need to set the future image and aim of the city. The aim should be the one that meets the practical need of down-town community and suitable programs need to be activated. 3) Generally, the citizens who are living in a region know it's problems the best. So the citizens themselves can advertise their Down-town community and participate to solve its problems 4) Down-town community requires a differential policy from general residence. Thus the professional have duty for the development of proper know-hows for Down-town community.

  • PDF

Isogeometric Shape Design Optimization of Structures Subjected to Design-dependent Loads (설계 의존형 하중 조건을 갖는 구조물의 아이소-지오메트릭 형상 최적설계)

  • Yoon, Min-Ho;Koo, Bon-Yong;Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.24 no.1
    • /
    • pp.1-7
    • /
    • 2011
  • In this paper, based on an isogeometric approach, we have developed a shape design optimization method for plane elasticity problems subjected to design-dependent loads. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry. In an isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. The solution space for the response analysis can be represented in terms of the same NURBS basis functions to represent the geometry, which yields a precise analysis model that exactly represents the normal and curvature depending on the applied loads. A continuum-based isogeometric adjoint sensitivity is extensively derived for the plane elasticity problems under the design-dependent loads. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

Research on Landscape Plan Strategy of Urban Waterside Space Buffer Zone - Focused on the Case of the Resilient Perspective of Plan - (도시 수변 완충지역의 경관 계획에 관한 연구 - 탄성 (resilient) 관점의 계획 사례분석을 중심으로 -)

  • Yang, Meng;Hong, Kwan-Seon
    • The Journal of the Korea Contents Association
    • /
    • v.20 no.7
    • /
    • pp.404-416
    • /
    • 2020
  • Flooding is an unavoidable natural disaster for the city. Flood disasters seriously undermine the city's economy, safety, and sustained development. In the course of development and construction of waterfront space in the same city, the construction of basic disaster prevention facilities cannot be avoided completely even if huge amounts of capital are invested to reduce the economic damage of flooding. The cost of rebuilding the city after the disaster is much higher than the cost of building disaster prevention facilities. In recent years, the theory of elasticity in urban reconstruction and so on has been a subject of city problem solving, creating widespread discussion and attention in academia. In other words, how to transform the concept of elasticity into practice based on theoretical and empirical factors is a real problem facing urban disaster. Through theoretical literature on the waterfront (space) buffer zone of a city (flood-weak area) and the case study of the city's practice, this paper tries to clarify the element of 5R, the theory of elastomeric fire prevention, and present detailed measures accordingly. In addition, the following two problems are addressed while emphasizing the feasibility of implementing the urban waterfront (space) plan of the elastomeric element around the urban water buffer zone. First, the means of disaster prevention planning are used to mitigate conflicts between individual utility of urban waterfront and disaster prevention functions in waterfront buffer zones, and second, the waterfront buffer zone can respond to flood-causing problems in terms of disaster prevention as much as possible through the elastic disaster prevention plan.

The Impact of financial Sources on Service Delivery in Non-profit Social Welfare Organizations (민간 사회복지조직의 재원(財源)이 서비스 전달에 미치는 영향)

  • Kim, Young-Jong
    • Korean Journal of Social Welfare
    • /
    • v.50
    • /
    • pp.209-233
    • /
    • 2002
  • This study is to identify the relationship in non-profit social welfare organizations(SWOs) between financial sources and service delivery. Especially the impact of the former to the latter is its main concern. For this purpose, gathered are the 1992, 1999 financial reports of those study organizations, and some qualitative data on a number of the organizations collected by the author is also used for verifying and interpreting the data. Gronbjerg's study(1992) provided an analytical tool for decomposing financial structure of human service organizations, and resource-dependency perspective was a theoretical framework for interpreting the impact of financial composition to service delivery. The findings are as follows: (1) Between 1992 and 1999, there was a noticeable change in financial composition among SWOs. Government subsidies has increased in terms of both amounts and percentages, for residential facilities 75% to 82% and for nonresidential facilities 37% to 47%. Funding from donations shows no abrupt changes, although absolute amounts were slight increasing. Fees were sharply decreasing, especially for the non-residential facilities which previously enjoyed them as valuable resources for preventing unnecessary influence from government. (2) The funding sources of SWOs and their strategies to acquire them has impact on service delivery. Although non-government fundings(donations and fees) were found to give elasticity to SWOs, various problems associated with acquiring them (i.e., changing the clientele) would prohibit SWOs from fully concentrating to those fundings. Meanwhile, government fundings are characterized as stable, and, as such, most of the SWOs prefers. Limited elasticity, red-tape, 'sacrifice of quality of service' over efficiency, etc. are referred to the problems.

  • PDF

Shape Design Optimization using Isogeometric Analysis Method (등기하 해석법을 이용한 형상 최적 설계)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2008.04a
    • /
    • pp.216-221
    • /
    • 2008
  • Shape design optimization for linear elasticity problem is performed using isogeometric analysis method. In many design optimization problems for real engineering models, initial raw data usually comes from CAD modeler. Then designer should convert this CAD data into finite element mesh data because conventional design optimization tools are generally based on finite element analysis. During this conversion there is some numerical error due to a geometry approximation, which causes accuracy problems in not only response analysis but also design sensitivity analysis. As a remedy of this phenomenon, the isogeometric analysis method is one of the promising approaches of shape design optimization. The main idea of isogeometric analysis is that the basis functions used in analysis is exactly same as ones which represent the geometry, and this geometrically exact model can be used shape sensitivity analysis and design optimization as well. In shape design sensitivity point of view, precise shape sensitivity is very essential for gradient-based optimization. In conventional finite element based optimization, higher order information such as normal vector and curvature term is inaccurate or even missing due to the use of linear interpolation functions. On the other hands, B-spline basis functions have sufficient continuity and their derivatives are smooth enough. Therefore normal vector and curvature terms can be exactly evaluated, which eventually yields precise optimal shapes. In this article, isogeometric analysis method is utilized for the shape design optimization. By virtue of B-spline basis function, an exact geometry can be handled without finite element meshes. Moreover, initial CAD data are used throughout the optimization process, including response analysis, shape sensitivity analysis, design parameterization and shape optimization, without subsequent communication with CAD description.

  • PDF