Results 11 to 20 of about 5,431,490 (128)
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
Liu, Xiang +9 more
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Free vibration of sigmoid functionally graded plates using the dynamic stiffness method and the Wittrick-Williams algorithm [PDF]
, 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 ...
Ranjan, V. +3 more
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Shock and Vibration, 2020 In this research, an exact dynamic stiffness model for spatial plate built-up structures under comprehensive combinations of different boundary conditions is newly proposed.
Xiang Liu, Chen Xie, Han-cheng Dan
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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
Manish Chauhan +2 more
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Shock and Vibration, 2016 Comparison study on free vibration of circular cylindrical shells between thin and moderately thick shell theories when using the exact dynamic stiffness method (DSM) formulation is presented. Firstly, both the thin and moderately thick dynamic stiffness
Xudong Chen, Kangsheng Ye
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, 2007 The well-established Wittrick-Williams algorithm is used to derive novel and general proofs that show that the eigenvalues of systems with constraints can be bracketed by replacing the constraints by positive and negative pairs of either ordinary or ...
Ilanko, Sinniah, Williams, F.W.
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, 2012 Exact stiffness analysis based on the Wittrick-Williams algorithm requires a solution to the governing member equations, and so has rarely been attempted for non-uniform members.
Kennedy, David, El-Kaabazi, Nihal
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Historic, Recent and Ongoing Applications of the Wittrick-Williams Algorithm
, 2010 Eigenvalues (i.e. natural frequencies or buckling load factors) of structures are usually found by the finite element method, which involves a linear eigenproblem for which many solution methods exist.
Kennedy, David +3 more
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Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004 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.
Williams, Frederick Ward +2 more
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Computers & StructuresThe dynamic stiffness method (DSM) for free vibration analysis of functionally graded moderately thick plates based on power and sigmoid laws is developed.
Ranjan, V. +3 more
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