Results 31 to 40 of about 5,431,490 (128)
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 The problem of spatial vibrations, both aperiodically forced and free vibrations, of an arch with an arbitrary distribution of material and geometric parameters is considered. Approximation with Chebyshev series was used to solve a conjugated system of partial differential equations describing the problem.
P. Ruta +2 more
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Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 An exact dynamic stiffness formulation is proposed for calculating the natural frequencies of shells of revolution based on the first‐order Reissner‐Mindlin theory. Equations of motion are reduced to be one‐dimensional, should the circumferential wave number is specified, and then are rewritten in Hamilton form.
Xudong Chen +2 more
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Shock and Vibration, Volume 2017, Issue 1, 2017., 2017 Dynamic Finite Element formulation is a powerful technique that combines the accuracy of the exact analysis with wide applicability of the finite element method. The infinite dimensionality of the exact solution space of plate equation has been a major challenge for development of such elements for the dynamic analysis of flexible two‐dimensional ...
Mohammad M. Elahi +2 more
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Free Vibration Analysis for Shells of Revolution Using an Exact Dynamic Stiffness Method
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 An exact generalised formulation for the free vibration of shells of revolution with general shaped meridians and arbitrary boundary conditions is introduced. Starting from the basic shell theories, the vibration governing equations are obtained in the Hamilton form, from which dynamic stiffness is computed using the ordinary differential equations ...
Xudong Chen +2 more
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On the Flexural‐Torsional Vibration and Stability of Beams Subjected to Axial Load and End Moment
Shock and Vibration, Volume 2014, Issue 1, 2014., 2014 The free vibration of beams, subjected to a constant axial load and end moment and various boundary conditions, is examined. Based on the Euler‐Bernoulli bending and St. Venant torsion beam theories, the differential equations governing coupled flexural‐torsional vibrations and stability of a uniform, slender, isotropic, homogeneous, and linearly ...
M. Tahmaseb Towliat Kashani +3 more
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A Dynamic Stiffness Element for Free Vibration Analysis of Delaminated Layered Beams
Modelling and Simulation in Engineering, Volume 2012, Issue 1, 2012., 2012 A dynamic stiffness element for flexural vibration analysis of delaminated multilayer beams is developed and subsequently used to investigate the natural frequencies and modes of two‐layer beam configurations. Using the Euler‐Bernoulli bending beam theory, the governing differential equations are exploited and representative, frequency‐dependent, field
Nicholas H. Erdelyi +2 more
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3SUM and Related Problems in Fine-Grained Complexity (Invited Talk)
, 2021 3SUM is a simple to state problem: given a set S of n numbers, determine whether S contains three a,b,c so that a+b+c = 0. The fastest algorithms for the problem run in n² poly(log log n)/(log n)² time both when the input numbers are integers [Ilya Baran
Vassilevska Williams, Virginia
core +1 more source
Accelerated Solutions for Transcendental Stiffness Matrix Eigenproblems
Shock and Vibration, Volume 3, Issue 4, Page 287-292, 1996., 1996 This article outlines many existing and forthcoming methods that can be used alone, or in various combinations, to accelerate the solutions of the transcendental stiffness matrix eigenproblems that arise when the stiffness matrix is assembled from exact member stiffnesses, which are obtained by solving the member differential equations exactly.
F.W. Williams, D. Kennedy
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Periodic and Near‐Periodic Structures
Shock and Vibration, Volume 2, Issue 1, Page 69-95, 1995., 1994 Extensive work has been done on the vibration characteristics of perfectly periodic structures. This article reviews the different methods of analysis from several fields of study, for example solid‐state physics and civil, mechanical, and aerospace engineering, used to determine the effects of disorder in one‐dimensional (1‐D) and 2‐D periodic ...
S. S. Mester, H. Benaroya
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Shock and Vibration, Volume 1, Issue 6, Page 497-506, 1994., 1994 An exact and direct modeling technique is proposed for modeling of rotor‐bearing systems with arbitrary selected degrees‐of‐freedom. This technique is based on the combination of the transfer and dynamic stiffness matrices. The technique differs from the usual combination methods in that the global dynamic stiffness matrix for the system or the ...
Shilin Chen, Michel Géradin
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