Closure to “Discussion of ‘On Normal Vibrations of a General Class of Nonlinear Dual-Mode Systems’” (1962, ASME J. Appl. Mech., 29, pp. 216–217)

1962 ◽  
Vol 29 (1) ◽  
pp. 217-217
Author(s):  
R. M. Rosenberg
1961 ◽  
Vol 28 (2) ◽  
pp. 275-283 ◽  
Author(s):  
R. M. Rosenberg

Free vibrations in normal modes are examined for a system consisting of two unequal (or equal) masses, interconnected by a nonlinear coupling spring, and each mass connected by nonlinear unequal (or equal) anchor springs to fixed points. All spring forces are odd functions, and proportional to the k’th power, of the spring deflections, where k is a real, positive number. The frequency-amplitude relations for the in and out-of-phase modes are derived without approximation, the stability of these modes is analyzed, and several numerical examples are worked out. A surprising feature of these systems is that they may have a greater number of normal modes than they have degrees of freedom.


2009 ◽  
Vol E92-C (3) ◽  
pp. 288-295
Author(s):  
Kazunori YAMANAKA ◽  
Kazuaki KURIHARA ◽  
Akihiko AKASEGAWA ◽  
Masatoshi ISHII ◽  
Teru NAKANISHI

2016 ◽  
Vol 26 (4) ◽  
pp. 319-347 ◽  
Author(s):  
Han-Yu Deng ◽  
Feng Feng ◽  
Xiao-Song Wu

Author(s):  
Christer Fureby ◽  
J. Tegner ◽  
R. Farinaccio ◽  
Robert Stowe ◽  
D. Alexander

1972 ◽  
Author(s):  
J. BORETZ ◽  
J. BELL ◽  
R. PLEBUCH ◽  
C. PRIEST

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