Improving the Acoustical Properties of an Elliptical Plan Space with a Cable Net Membrane Roof

Rizzo, Fabio; Zazzini, Paolo

doi:10.1007/s40857-016-0072-5

Cited by 22 publications

(23 citation statements)

References 15 publications

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“…The proposed method is supposed to be used in the development of automated tools for the formation and editing of realistic images of surfaces of objects with complex configurations, such as car bodies. It can be recommended for use in the field of construction for the representation of membrane roofing [10]. This method could be also useful for civil engineers and in the calculation of models by the finite element method.…”

Section: Discussionmentioning

confidence: 99%

An Efficient Method for Forming Parabolic Curves and Surfaces

Lyachek

2020

Mathematics

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A new method for the formation of parabolic curves and surfaces is proposed. It does not impose restrictions on the relative positions in space of the sequence of reference points relative to each other, meaning it compares favorably with other prototypes. The disadvantages of the Overhauser and Brever–Anderson methods are noted. The method allows one to effectively form and edit curves and surfaces when changing the coordinates of any given point. This positive effect is achieved due to the appropriate choice of local coordinate systems for the mathematical description of each parabola, which together define a composite interpolation curve or surface. The paper provides a detailed mathematical description of the method of parabolic interpolation of curves and surfaces based on the use of matrix calculations. Analytical descriptions of a composite parabolic curve and its first and second derivatives are given, and continuity analysis of these factors is carried out. For the matrix of points of the defining polyhedron, expressions are presented that describe the corresponding surfaces, as well as the unit normal at any point. The comparative table of the required number of pseudo-codes for calculating the coordinates of one point for constructing a parabolic curve for the three methods is given.

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Section: Discussionmentioning

confidence: 99%

An Efficient Method for Forming Parabolic Curves and Surfaces

Lyachek

2020

Mathematics

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“…Alternatively, the wind-structure interaction can be analyzed by computational fluid dynamics simulations (CFD) and fluid and structure simulations (FSI). These approaches are common in the field of building construction and structural engineering and they are mostly used to investigate multihazard effects, as for example in the field of the sound propagation ( [11], [12]), earthquake and tsunami effects or pedestrian-induced lateral vibrations ( [13], [14], [15], [16]). However, the big Reynolds number (i.e.…”

Section: Introductionmentioning

confidence: 99%

Flutter Instability Calculation for Suspended Bridges Using Geometrically Nonlinear Analyses

Taddeo¹,

Giovanni²

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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The paper investigates the modelling and calculation of the flutter instability condition due to the windstructure interaction in the case of suspended bridges. In particular, the paper is focused on FEM (Finite Element Model) analyses on three dimensional models that compute the flutter instability. Geometric non-linear flutter instability analyses were carried out using a research and design software program (TENSO), which enables nonlinear dynamic analysis of wind-structure interaction. All the bridge structure is modelled. In particular, the bridge deck model was simplified by a beam model located in the deck section's center of gravity and two massless rigid links to simulate the connection of the deck to the hangers and cables. The cables are represented by rectilinear cables element. The critical flutter speed was estimated using quasi-static approximation of the unsteady wind loads calculated by aerodynamic coefficients (i.e. lift, drag and moment coefficients) estimated by aerodynamic forces (i.e. lift, drag and moment) directly measured by wind tunnel tests. The executed analyses are by dynamic step-by-step integration of the nonlinear three-dimensional structure with geometric nonlinearities. The global stiffness matrix is updated at each load step by assembly of the stiffness sub-matrices of the elements, updated to account for the strain found at the previous time step, taking into account the geometric nonlinearity of the structure.Firstly, the calculation provides for the static equilibrium of the structure under dead, gravity and construction loads by nonlinear static analysis. It was computed simultaneously using two methods: step-by-step incremental method and a "subsequent interaction" method with variable stiffness matrix (secant method). The secant method is a finite-difference approximation of the Newton-Raphson's modified method for systems of nonlinear algebraic equations. The solution under gravity loads is subsequently used as the initial step of the dynamic wind load analysis. The Newmark-Beta method with Rayleigh damping is used for numerical integration of the dynamic equations. Wind loads on the bridge deck are time dependent and they are simulated by applying the aerodynamic coefficients as a function of the time-dependent angle of attack at a given mean wind speed U. Displacements and rotations of the bridge deck at progressively increasing values of U, are estimated. The velocity at incipient flutter is fixed when the reference deck vibration amplitude exceeds ±5°. Details of the analyses results and calculation are given for an example of suspended foot bridges. Vertical displacements (δ) and rotations of the deck about the longitudinal bridge axis (αx) in normalized format (i.e. upward deck displacements are positive and counterclockwise rotations are positive) are discussed.

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“…However, recently, these structural typologies are more common than it was in the past because they have a convenient cost/benefit ratio. For example, light roof are often used to cover sport arenas, meeting rooms or concert halls [2,3]. The large use of tensile structural systems (i.e.…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Analyses of Tensile Structural Systems: Wind-Structure Interaction

Giovanni¹,

Taddeo²

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Tensile structural systems as for example cables nets, suspended bridges or membranes usually have nonneglecting p-delta effects under wind action. Consequently, great displacements give a geometrically nonlinear structural behavior. In addition, the wind action is nonlinear spatially and time depending. This closely affect the dynamic interaction between loads and structure. For this reason, the calculation process needs to take into account the timedepending nonlinear response of the structure. Finally, the wind action can be critical for structural and it can induce global or local instability. Analyses has to be able to capture and to describe the instability response in term of displacements, in the case of cables net, or rotations, in the case of suspended bridges. The paper is focused on the wind-structure interaction analyses carried out by wind tunnel experiments. The wind action is generally given by wind tunnel experiments, and it is time depending. For roofs, it generally is given as pressure time histories measured by some pressure taps on the roof. The process from experiments to structural response is described using a case of study of cables net. The dynamic geometrically nonlinear analyses were performed using the TENSO non-commercial program, which can execute dynamic step-by-step integration of the nonlinear three-dimensional structure with geometric nonlinearities by the Newmark-Beta method with Rayleigh damping.

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Improving the Acoustical Properties of an Elliptical Plan Space with a Cable Net Membrane Roof

Cited by 22 publications

References 15 publications

An Efficient Method for Forming Parabolic Curves and Surfaces

An Efficient Method for Forming Parabolic Curves and Surfaces

Flutter Instability Calculation for Suspended Bridges Using Geometrically Nonlinear Analyses

Geometrically Nonlinear Analyses of Tensile Structural Systems: Wind-Structure Interaction

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