Author

# Mario G. Salvadori

Bio: Mario G. Salvadori is an academic researcher from Columbia University. The author has contributed to research in topics: Architecture & Right angle. The author has an hindex of 10, co-authored 27 publications receiving 1180 citations.

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Brown University

^{1}TL;DR: Sommaire as discussed by the authors discusses the practical solution of algebraic and transcendental equations, finite differences and their applications, numerical integration of initial value problems, and numerical intergation of ordinary boundary value problems.

Abstract: Sommaire : Chap. I - The practical solution of algebraic and transcendental equations. Chap. II - Finite differences and their applications. Chap. III - The numerical integration of initial value problems. Chap. IV - The numerical intergation of ordinary boundary value problems. Chap. V - The numerical solution of partial differential equations

405 citations

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01 Jan 1994

TL;DR: The stories that make up Why Buildings Fall Down are in the end very human ones, tales of the interaction of people and nature, of architects, engineers, builders, materials, and natural forces all coming together in sometimes dramatic (and always instructive) ways as mentioned in this paper.

Abstract: The stories that make up Why Buildings Fall Down are in the end very human ones, tales of the interaction of people and nature, of architects, engineers, builders, materials, and natural forces all coming together in sometimes dramatic (and always instructive) ways.

123 citations

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01 Jan 1980

TL;DR: A clear and enthusiastic introduction to buildings methods from ancient times to the present day, including recent advances in science and technology that have had important effects on the planning and construction of buildings: improved materials (steel, concrete, plastics), progress in antiseismic designs, and the revolutionary changes in both architectural and structural design made possible by the computer as discussed by the authors.

Abstract: Between a nomad's tent and the Sears Tower lies a revolution in technology, materials, and structures. Here is a clear and enthusiastic introduction to buildings methods from ancient times to the present day, including recent advances in science and technology that have had important effects on the planning and construction of buildings: improved materials (steel, concrete, plastics), progress in antiseismic designs, and the revolutionary changes in both architectural and structural design made possible by the computer.

49 citations

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TL;DR: The purpose of the last three sections is to demonstrate by representative examples that control theory can be used to formulate computationally feasible procedures for aerodynamic design, Provided, therefore, that one can afford the cost of a moderate number of flow solutions.

Abstract: The purpose of the last three sections is to demonstrate by representative examples that control theory can be used to formulate computationally feasible procedures for aerodynamic design. The cost of each iteration is of the same order as two flow solutions, since the adjoint equation is of comparable complexity to the flow equation, and the remaining auxiliary equations could be solved quite inexpensively. Provided, therefore, that one can afford the cost of a moderate number of flow solutions, procedures of this type can be used to derive improved designs. The approach is quite general, not limited to particular choices of the coordinate transformation or cost function, which might in fact contain measures of other criteria of performance such as lift and drag. For the sake of simplicity certain complicating factors, such as the need to include a special term in the mapping function to generate a corner at the trailing edge, have been suppressed from the present analysis. Also it remains to explore the numerical implementation of the design procedures proposed in this paper.

1,912 citations

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TL;DR: This work surveys the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques.

Abstract: We survey the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques. Emphasis is given to exploiting both the structure of the matrices in the problem (dense, sparse, real, complex, Hermitian, skew-Hermitian) and the spectral properties of the problem. We classify numerical methods and catalogue available software.

1,369 citations

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TL;DR: In this article, a formalism for the design of conserving time-integration schemes for Hamiltonian systems with symmetry is developed, and the main result is that implicit second-order conserving schemes can be constructed for general systems which preserve the Hamiltonian along with a certain class of first integrals arising from affine symmetries.

Abstract: This paper develops a formalism for the design of conserving time-integration schemes for Hamiltonian systems with symmetry. The main result is that, through the introduction of a discrete directional derivative, implicit second-order conserving schemes can be constructed for general systems which preserve the Hamiltonian along with a certain class of other first integrals arising from affine symmetries. Discrete Hamiltonian systems are introduced as formal abstractions of conserving schemes and are analyzed within the context of discrete dynamical systems; in particular, various symmetry and stability properties are investigated.

462 citations

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TL;DR: In this paper, a procedure for generating random aggregate structures for rounded and angular aggregates based on the Monte Carlo random sampling principle is proposed and a method of mesh generation using the advancing front approach is developed.

Abstract: Concrete is a composite material with a variety of inhomogeneities. Its composite behavior may be studied analytically using the mesoscopic approach which treats the concrete as a three-phase system consisting of coarse aggregate, mortar matrix with fine aggregate dissolved in it, and interfacial zones between the coarse aggregate and the mortar matrix. For such mesoscopic study, it is first necessary to generate a random aggregate structure in which the shape, size and distribution of the aggregate particles resemble real concrete in the statistical sense. Then, if the composite structure is to be analyzed by the finite element method, a mesh for each of the three phases needs to be generated. In this paper, a procedure for generating random aggregate structures for rounded and angular aggregates based on the Monte Carlo random sampling principle is proposed and a method of mesh generation using the advancing front approach is developed. These are combined with a nonlinear finite element method for mesoscopic study of concrete whose methodology and results will be presented in part II of the paper.

431 citations

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TL;DR: A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.

Abstract: This paper presents a unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis. The key assumptions behind CR are: (i) strains from a corotated configuration are small while (ii) the magnitude of rotations from a base configuration is not restricted. Following a historical outline the basic steps of the element independent CR formulation are presented. The element internal force and consistent tangent stiffness matrix are derived by taking variations of the internal energy with respect to nodal freedoms. It is shown that this framework permits the derivation of a set of CR variants through selective simplifications. This set includes some previously used by other investigators. The different variants are compared with respect to a set of desirable qualities, including self-equilibrium in the deformed configuration, tangent stiffness consistency, invariance, symmetrizability, and element independence. We discuss the main benefits of the CR formulation as well as its modeling limitations.

389 citations