Results 1 to 10 of about 7,427 (100)
Extended Wittrick–Williams algorithm for eigenvalue solution of stochastic dynamic stiffness method [PDF]
Mechanical Systems and Signal Processing, 2022 This paper proposes an efficient and reliable eigenvalue solution technique for analytical stochastic dynamic stiffness (SDS) formulations of beam built-up structures with parametric uncertainties. The SDS formulations are developed based on frequency-dependent shape functions in conjunction with both random-variable and random-field structural ...
Xiang Liu, S Adhikari, Shengwen Yin
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Extension of the Wittrick-Williams Algorithm for Free Vibration Analysis of Hybrid Dynamic Stiffness Models Connecting Line and Point Nodes [PDF]
Mathematics, 2021 This paper extends the Wittrick-Williams (W-W) algorithm for hybrid dynamic stiffness (DS) models connecting any combinations of line and point nodes. The principal novelties lie in the development of both the DS formulation and the solution technique in
Xiang Liu +3 more
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Exact wave propagation analysis of lattice structures based on the dynamic stiffness method and the Wittrick–Williams algorithm [PDF]
Mechanical Systems and Signal Processing, 2022 This paper proposes two significant developments of the Wittrick–Williams (W–W) algorithm for an exact wave propagation analysis of lattice structures based on analytical dynamic stiffness (DS) model for each unit cell of the structures. Based on Bloch's theorem, the combination of both the DS and the W–W algorithm makes the wave propagation analysis ...
Xiang Liu, S Adhikari, Yingli Li
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Free vibration of sigmoid functionally graded plates using the dynamic stiffness method and the Wittrick-Williams algorithm [PDF]
Computers and Structures, 2021 In this paper, the free vibration characteristics of Sigmoid Functionally Graded Material (S-FGM) Levy-type plates are investigated by developing the Dynamic Stiffness Method (DSM) through the application of the Wittrick-Williams algorithm, as solution technique.
J R Banerjee
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2004 Summary: The Wittrick-Williams (WW) algorithm was developed over 30 years ago and has been applied with increasing sophistication to problems in structural mechanics ever since. Much wider applications, to any field requiring eigenvalues of selfadjoint systems of differential equations, are possible based on a theorem due to Balakrishnan that underpins
F W Williams
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Computers and Structures, 2012 Dynamic stiffness equations are formulated for variable thickness cylindrical shells, under the assumptions of Donnell, Timoshenko and Flugge theories. Transcendental dynamic stiffness matrices are formed by solving numerically the governing eighth order differential equations using the boundary-value solver COLSYS.
David Kennedy
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Volume 5: Dynamics, Vibration, and ControlAbstract The Wittrick-Williams algorithm excels in solving transcendental eigenvalue problems arising from the exact solutions of governing differential equations. Initially developed for structural mechanics, where eigenvalues are non-negative, the algorithm’s versatility extends beyond. The authors demonstrate that negative eigenvalues,
Andrew Watson +2 more
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Computers and StructuresThe dynamic stiffness method (DSM) for free vibration analysis of functionally graded moderately thick plates based on power and sigmoid laws is developed.
J R Banerjee
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Comparison of natural frequencies of isotropic plate using DSM with Wittrick-Williams algorithm [PDF]
Vibroengineering Procedia, 2018 In this paper, comparison of natural undamped frequencies of isotropic plates are investigated by using the dynamics stiffness element for isotropic plates. The DS Matrix for isotropic has been formulated by the application of classical plate theory. The generalized DS matrix has to solve by using Wittrick-Williams algorithm.
Manish Chauhan +2 more
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Dynamic characteristics analysis method of flexible hanger based on Wittrick-Williams algorithm
Journal of Low Frequency Noise, Vibration and Active Control, 2023 As important bearing members of the suspension and arch bridges, flexible slings determine the bearing capacity and durability of bridges. Therefore, it is of great significance to study its dynamic characteristics for the design, operation, and ...
Xia Liao, Danhui Dan, Fei Han
doaj +2 more sources