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Frequency equation of axisymmetric guided waves in logs
Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology, 2011 According to the structure characteristics of logs, a log model with double layers (i.e. heartwood and sapwood) was constructed. Through the transmission characteristics of guided wave and the assumption of rigid connection at interface of heartwood and sapwood, the frequency equation of axisymmetric guided waves transmission in logs was deduced.
Huimin Yang, Lihai Wang, Li Li
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Aircraft Engineering and Aerospace Technology, 1942
IN the article on simultaneous equations published in AIRCRAFT ENGINEERING, Vol. XI, May, 1939, pp. 199–200, the author exploited the powerful process of iteration. In the present article he deals similarly with an iterative method for finding the roots of a determinantal equation. Such a method was first given by Duncan and Collar in their paper “On a
Morris, J., Head, J. W.
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IN the article on simultaneous equations published in AIRCRAFT ENGINEERING, Vol. XI, May, 1939, pp. 199–200, the author exploited the powerful process of iteration. In the present article he deals similarly with an iterative method for finding the roots of a determinantal equation. Such a method was first given by Duncan and Collar in their paper “On a
Morris, J., Head, J. W.
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Frequency equation and mode shape formulae for composite Timoshenko beams
Composite Structures, 2001 J R Banerjee
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Nonoscillation of Mathieu equations with two frequencies
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jitsuro Sugie, Kazuki Ishibashi
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On the Frequency Equations of Combined Systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996Summary: Two primary systems are considered: An \(n\)-mass oscillator and a one-dimensional continuous structure the displacements of which are discretized by its first \(n\) eigenfunctions. If to each of these systems the same spring-mass system is attached for example at their free ends, it may be expected intuitively that the frequency equations of ...
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Frequency dependent transport equation for a magnetoplasma
Plasma Physics, 1970The equation for the pair correlation function form the BBGKY hierarchy has been solved for a magnetoplasma under the influence of a weak external force proportional to exp (i omega 1t) using an operator method and a time-periodic ansatz for the one- and two-particle distribution functions.
Salat, A., Joyce, G.
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Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
IEEE Transactions on Antennas and Propagation, 2000We develop a new method to precondition the matrix equation resulting from applying the method of moments (MoM) to the electric field integral equation (EFIE). This preconditioning method is based on first applying the loop-tree or loop-star decomposition of the currents to arrive at a Helmholtz decomposition of the unknown currents.
Zhao, JS, Chew, WC
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