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Towards a deeper understanding of the Wittrick-Williams algorithm for solving eigenproblems

open access: yes
Kennedy, David   +3 more
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Recent discoveries related to the use of the Wittrick-Williams algorithm to solve transcendental eigenproblems

open access: yes
Kennedy, David   +3 more
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A general adaptive finite element eigen-algorithm stemming from Wittrick-Williams algorithm

, 2021
Stemming from Wittrick-Williams algorithm for transcendental eigenproblems, a general adaptive finite element (FE) procedure is proposed for general linear eigenproblems. The pivot of the proposed procedure is the counting method based on Sturm sequences,
S. Yuan, Haohan Sun
semanticscholar   +1 more source

The application of the Wittrick-Williams algorithm for free vibration analysis of cracked skeletal structures

, 2020
In this study, the dynamic stiffness method is applied to a cracked beam that incorporates Rayleigh bar theory and Timoshenko beam theory, and the Wittrick-Williams algorithm is used to pinpoint natural frequencies.
X. Sun
semanticscholar   +1 more source

An improved Wittrick-Williams algorithm for beam-type structures

Composite structures, 2018
With the help of the dynamic stiffness method, the problem of dynamic characteristics analysis of an engineering structure can be transformed into the problem of solving the transcendental frequency equation.
Fei Han, D. Dan, Wei Cheng, Zang Jubao
semanticscholar   +1 more source

Wave Propagation in Functionally Graded Re‐Entrant Lattice Structures Using the Dynamic Stiffness Method and Wittrick–Williams Algorithm

Advanced Theory and Simulations
Functionally graded materials (FGMs) enhance the mechanical performance of homogeneous materials, while architected periodic structures enable lightweight designs with superior properties.
Mudit Mishra   +3 more
semanticscholar   +1 more source

Dynamic stiffness formulation for the vibration response of functionally graded nanoplates considering the neutral surface position with microstructural defects

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
In the present paper, the dynamic stiffness matrix of a functionally graded nanoplate (FG-nP) has been developed and used to carry out a vibration analysis.
Saurabh Rai, Ankit Gupta
semanticscholar   +1 more source

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