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Titlebook: Chaos in Structural Mechanics; Jan Awrejcewicz,Vadim Anatolevich Krys‘ko Book 2008 Springer-Verlag Berlin Heidelberg 2008 Bubnov-Galerkin

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Static Instability of Rectangular Plates,s on problems not yet satisfactorily solved. In the next section various methods devoted to stability investigations are briefly addressed, exhibiting their strong and weak points regarding applications with particular attention to computational advantages of Galerkin’s methods.
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Related literature and previous research,tions of nonhomogeneous shells applying the Bubnov-Galerkin method of higher order approximations are analyzed. Section 3.3 is devoted to investigation of free nonlinear vibrations of homogeneous plates and shells with respect to any choice of control parameters. The relatively extensive Sect. 3.4 a
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Construction of data set and variables,, as well as the concept of finite-time stability, is given in Sects. 4.1–4.3. Mathematical modeling of dynamical systems, problems of synchronization, chaos, and quasiperiodicity are also briefly revisited. Sections. 4.6–4.10 refer to both static and dynamic bifurcations and their numerical estimat
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https://doi.org/10.1007/978-3-8350-9428-4ons of motion are derived, and then the influence of imperfection on the shell stability is studied. Both static and dynamic problems of buckling with the use of the Bubnov-Galerkin method of higher approximations are analyzed and many computational results are reported.
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