Molecular Vibration and Structure of High Polymers. IV. A General Method of Treating Degenerate Normal Vibrations of Helical Polymers and Infrared‐Active Vibrations of Isotactic Polypropylene

1963 ◽  
Vol 38 (11) ◽  
pp. 2709-2720 ◽  
Author(s):  
T. Miyazawa ◽  
Y. Ideguchi ◽  
K. Fukushima
Keyword(s):  
Isotactic Polypropylene ◽  
Molecular Vibration ◽  
Normal Vibrations ◽  
Helical Polymers ◽  
General Method ◽  
High Polymers

Normal Vibrations of the Polymer Molecules of Helical Conformation. V. Isotactic Polypropylene and Its Deuteroderivatives

1965 ◽  
Vol 42 (4) ◽  
pp. 1432-1449 ◽  
Author(s):  
Hiroyuki Tadokoro ◽  
Masamichi Kobayashi ◽  
Minoru Ukita ◽  
Katsutoshi Yasufuku ◽  
Shunsuke Murahashi ◽  
...  
Keyword(s):  
Isotactic Polypropylene ◽  
Helical Conformation ◽  
Normal Vibrations ◽  
Polymer Molecules

Normal Vibrations of a Uniform Plate Carrying Any Number of Finite Masses

1959 ◽  
Vol 26 (2) ◽  
pp. 210-216
Author(s):  
W. F. Stokey ◽  
C. F. Zorowski
Keyword(s):  
Natural Frequencies ◽  
Physical Characteristics ◽  
Normal Vibrations ◽  
Simply Supported ◽  
Numerical Example ◽  
Natural Modes ◽  
Modes Of Vibration ◽  
General Method

Abstract A general method is presented for determining approximately the natural frequencies of the normal vibrations of a uniform plate carrying any number of finite masses. Its application depends on knowing the frequencies and natural modes of vibration of the unloaded plate and the physical characteristics of the mass loadings. A numerical example is presented in detail in which this method is applied to a simply supported plate carrying two masses. Results also are included of experimentally measured frequencies for this configuration and several additional cases along with the frequencies computed using this method for comparison.

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