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THE FREQUENCIES OF THE NORMAL MODES OF COPPER

Solid State Communications, 1963
Abstract 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, 2004
We 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, 1960
A 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, 1941
The 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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NORMAL MODES OF VIBRATIONS OF CRYSTALS

Canadian Journal of Physics, 1961
The 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

2018
Nonlinear 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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On normal mode vibrations

Mathematical Proceedings of the Cambridge Philosophical Society, 1964
1.Introduction. In linear systems, the concept of ‘free vibrations in normal modes’ is well defined and fully understood. The meaning of this phrase is far less clear when it is applied to non-linear systems. It is the purpose here to define and examine the free vibrations in normal modes (and their stability) in certain non-linear systems composed of ...
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Normal Mode Analysis

2005
Normal mode theory and harmonic potential approximations Konrad Hinsen All-atom normal mode calculations of large molecular systems using iterative methods Liliane Mouawad and David Perahia The Gaussian network model: Theory and applications A.J. Radar, Chakra Chennubhotla, Lee-Wei Yang, Ivet Bahar Normal mode analysis of macromolecules: from enzyme ...
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Normal Modes and Reverberation

IETE Journal of Research, 1955
The work reported in this paper was carried out some years ago during the development of Morse's theory of reverberation, in an attempt to explain the difference in the observed values of absorption coefficients for sound waves which are normally incident on an absorbing surface in a room and those which are at grazing incidence.
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Vibrations and Normal Modes

1989
Any molecule, even a homonuclear diatomic molecule, has a variety of distinct motions in three-dimensional space. It can translate in three different spatial directions, rotate about two orthogonal axes associated with significant moments of inertia, and vibrate along the internuclear axis.
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