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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Orthogonality of Modes of Structures When Using the Exact Transcendental Stiffness Matrix Method [PDF]
Shock and Vibration, 2000 This paper presents theory, physical insight and results for mode orthogonality of piecewise continuous structures, including both coincident and non-coincident natural frequencies.
K.L. Chan, F.W. Williams
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Dynamic response of sandwich functionally graded nanoplate under thermal environments and elastic foundations using dynamic stiffness method. [PDF]
Sci RepThe present paper introduces the development of dynamic stiffness method for analyzing small-scale sandwich functionally graded nanoplates resting on elastic foundation in thermal environments.
Rai S, Gupta A.
europepmc +3 more sources
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.
Sondipon Adhikari
core +4 more sources
Shock and Vibration, 2022 Based on the symplectic structure of the Hamiltonian matrix, the precise integration method (PIM), and the Wittrick–Williams (W-W) algorithm, a generalized method for computing the dispersion curves of guided waves in multilayered anisotropic magneto ...
Yanhui Zhang, Qiang Gao
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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
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Applied Sciences, 2022 In this present paper, the dynamic stiffness method (DSM) was formulated to investigate the out-of-plane natural vibration of a thin orthotropic plate using the classical plate theory (CPT).
Manish Chauhan +5 more
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Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix
Alexandria Engineering Journal, 2021 This paper has been devoted to exact calculation of the natural frequencies for out-of-plane free vibration of three-layer symmetric sandwich beams by using dynamic stiffness matrix method.
Mohammad Gholami +3 more
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Mathematics, 2022 As the length of single sling increases, double slings with transverse connections are gradually becoming one of the effective measures to control the undesirable vibration of single slings.
Xia Liao, Danhui Dan, Fei Han, Rui Zhao
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Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix
Comptes Rendus. Mécanique, 2020 In the present study, the governing differential equations of motion are developed by using the Hamilton principle for a three-layered curved sandwich beam with symmetric face layers.
Dorostghoal, Daniel +2 more
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