Results 11 to 20 of about 7,427 (100)
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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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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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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Dynamic response of sandwich functionally graded nanoplate under thermal environments and elastic foundations using dynamic stiffness method [PDF]
Scientific ReportsThe present paper introduces the development of dynamic stiffness method for analyzing small-scale sandwich functionally graded nanoplates resting on elastic foundation in thermal environments.
Saurabh Rai, Ankit Gupta
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Historic, Recent and Ongoing Applications of the Wittrick-Williams Algorithm
Computational Technology Reviews, 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. This paper covers the much harder transcendental eigenproblem which occurs when finite element discretisation errors are avoided by using the exact ...
F.W. Williams, D. Kennedy
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International Journal for Numerical Methods in Engineering, 2007 AbstractThe 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 inertial penalty parameters.
Ilanko, Sinniah, Williams, F. W.
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Natural Frequencies of Tapered Cylindrical Shells by Wittrick-Williams Algorithm
Civil-Comp Proceedings, 2010 Shells are structures designed to cover wide areas without internal supports. This type of structure can survive extreme loads, and has been used since antiquity.
N. El-Kaabazi, D. Kennedy
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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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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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