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On Normal Modes of a Waveguide
Computational Mathematics and Mathematical Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kroytor O.K. +2 more
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THE FREQUENCIES OF THE NORMAL MODES OF COPPER
Solid State Communications, 1963Abstract The frequencies of phonons in the symmetry planes of copper have been determined by measuring the inelastic scattering of slow neutrons with a time of flight apparatus. The experimental results have been analysed on the basis of the theories of Toya and others.
S.K. Sinha, G.L. Squires
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Magnetic normal modes in nano-particles
Physica B: Condensed Matter, 2004We have recently developed two methods to calculate the magnetic normal modes of a magnetic nano-particle. One of the methods is based on a conventional micromagnetic approach in which the time evolution of the magnetization of each cell is monitored. After filtering in frequency domain, the magnetic normal modes can be reconstructed. The second method
M. Grimsditch +6 more
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Normal Modes of Nonlinear Dual-Mode Systems
Journal of Applied Mechanics, 1960A system consisting of two unequal masses, interconnected by a coupling spring, and each connected to an anchor spring, is examined. The springs may all be unequal and nonlinear, but each resists being compressed to the same degree as being stretched. The concept of normal modes is rigorously defined, and methods of finding them are given.
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Frequency Distribution of Normal Modes
The Journal of the Acoustical Society of America, 1941The formula obtained by Maa for the frequency distribution of the normal modes for a rectangular enclosure has been verified by a more direct computation and extended to apply to a cylinder, a sphere, and to a number of derived shapes. In all cases it is found that the number of normal modes with frequencies less than ν is given by 4πVν3/3c3+πAν2/4c2+⋯,
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What Is Normal About Normal Modes?
2016A normal mode of a vibrating system is a mode that is orthogonal to all other normal modes of that system. The orthogonality is in a weighted sense. For an undamped discretized linear mechanical system, the orthogonality is defined with respect to stiffness and mass such that normal modes are mutually stiffness and mass orthogonal.
Thomas J. S. Abrahamsson +1 more
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NORMAL MODES OF VIBRATIONS OF CRYSTALS
Canadian Journal of Physics, 1961The general theory of the normal modes of vibrations of crystals as given by Max Born and von Karman has been analyzed group theoretically. This is illustrated with reference to the diamond lattice.
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Normal Modes of Chaotic Vibrations and Transient Normal Modes in Nonlinear Systems
2018Nonlinear normal modes of forced chaotic vibrations can be found in models which are obtained by discretization of some elastic systems that have lost stability under external compressive force. Transient nonlinear normal modes, which exist only for some specific values of the system energy, appear in nonlinear dissipative systems in vicinity of ...
Yuri V. Mikhlin +3 more
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The Journal of the Acoustical Society of America, 1983
The attenuation of normal modes due to viscous-type absorption losses in a layered bottom is examined. A standard perturbational approach is used to relate the modal attenuation coefficient to the energy stored and the power flow in each mode and to the intrinsic viscous loss in each layer.
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The attenuation of normal modes due to viscous-type absorption losses in a layered bottom is examined. A standard perturbational approach is used to relate the modal attenuation coefficient to the energy stored and the power flow in each mode and to the intrinsic viscous loss in each layer.
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