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Normal Modes and Localization in Nonlinear Systems
Alexander F. . Ed(S): Vakakis
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Description for Normal Modes and Localization in Nonlinear Systems
Paperback. Editor(s): Vakakis, Alexander F. Num Pages: 300 pages, biography. BIC Classification: PBKJ; PHD; TGMD4. Category: (P) Professional & Vocational. Dimension: 254 x 178 x 15. Weight in Grams: 680.
The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape ... Read more
The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer Netherlands
Number of pages
300
Condition
New
Number of Pages
294
Place of Publication
Dordrecht, Netherlands
ISBN
9789048157150
SKU
V9789048157150
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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