The objective of the present work were to explore the applicability of the third degree functional polynomial model to nonlinear seakeeping problems, and to attempt the development of an approach by which third degrees nonlinearities in observed responses of ships to waves might be interpreted. Basic approaches to the deterministic characerization of such systems are discussed, and basic identification theory for the random sea case is developed. The latter involves the estimation of a new entity called the cross-tri-spectrum. Simulations of the response of a system with quadratic and cubic nonlinearities was carried out for random excitation. The qualitative influence of cubic nonlinearities on random times domain response as well as response spectra are discussed. A first attempt was made at cross-tri-spectral identification of cubic response from samples of random excitation and responses. Though this attempt was partially successful, the numerical method employed was not satisfactory in an important way and further development is indicated.


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    Title :

    Investigation of the applicability of third degree functional polynomial model to nonlinear ship motions problems


    Additional title:

    Untersuchung der Anwendbarkeit eines funktionellen Polynommodells des dritten Grades fuer nichtlineare Schiffsbewegungen


    Contributors:

    Published in:

    Publication date :

    1982


    Size :

    118 Seiten


    Type of media :

    Report


    Type of material :

    Print


    Language :

    English




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