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The leakage of pipeline would cause serious problems, especially when the pipe conveying petroleum or other toxic substance. For the ocean mining system, the complex environment would increase the risk of the fracture. Once the leakage occurs, the vibration of the pipe would aggravate spill situation and even result in crack of the pipe. To prevent the detriment of the leaking, the dynamic performance...
In this paper a method is presented for computing the simplest normal form for a vector field associated with the singularity of two non-semisimple double zero eigenvalues. The method developed here uses the lower order nonlinear terms in the normal form for the simplifications of higher order terms. An explicit formulae are derived, which can be used to compute the coefficients of the simplest normal...
Global dynamics of a simply supported functionally graded materials (FGM) rectangular plate are studied using the extended Melnikov method for the first time. The FGM plate is subjected to the transversal and in-plane excitations. Material properties are assumed to be temperature-dependent. A two-degree-of-freedom nonlinear system governing equations of motion for the FGM rectangular plate is derived...
In this paper, we discuss the existence of solutions for networks of nonlinear parametrically forced oscillators. We deals with one type of nonlinear coupled system from the studying of the honeycomb sandwich plate. Based on the Implicit Function Theorem, the periodic orbit of the coupled system are derived by the hyperbolicity condition. The method of Poincare map is utilized to obtain solutions...
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