<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper describes a discrete-continuous method of dynamic system modelling. The presented approach is hybrid in its nature, as it combines the advantages of spatial discretization methods with those of continuous system modelling methods. In the proposed method, a three-dimensional system is discretised in two directions only, with the third direction remaining continuous. The thus obtained discrete-continuous model is described by a set of coupled partial differential equations, derived using the rigid finite element method (RFEM). For this purpose, firstly the general differential equations are written. Then these equations are converted into difference equations. The derived equations, expressed in matrix form, allow to create a global matrix for the whole system. They are solved using the distributed transfer function method. The proposed approach is illustrated with the examples of a simple beam fixed at both ends and a simply supported plate.</p></abstract>

The paper describes a discrete-continuous method of dynamic system modelling. The presented approach is hybrid in its nature, as it combines the advantages of spatial discretization methods with those of continuous system modelling methods. In the proposed method, a three-dimensional system is discretised in two directions only, with the third direction remaining continuous. The thus obtained discrete-continuous model is described by a set of coupled partial differential equations, derived using the rigid finite element method (RFEM). For this purpose, firstly the general differential equations are written. Then these equations are converted into difference equations. The derived equations, expressed in matrix form, allow to create a global matrix for the whole system. They are solved using the distributed transfer function method. The proposed approach is illustrated with the examples of a simple beam fixed at both ends and a simply supported plate.

A Discrete-Continuous Method of Mechanical System Modelling

Polish Maritime Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Discrete-Continuous Method of Mechanical System Modelling"}

The paper describes a discrete-continuous method of dynamic system modelling. The presented approach is hybrid in its nature, as it combines the advantages of...

A Discrete-Continuous Method of Mechanical System Modelling

Article Category: Special Issue Title: Coastal, Offshore and Ocean Engineering

Publié en ligne: 23 mai 2017

Pages: 97 - 107

DOI: https://doi.org/10.1515/pomr-2017-0027

Mots clés
modelling, mechanical system, dynamic systems, vibrations, hybrid modelling methods

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Discrete-Continuous Method of Mechanical System Modelling

Article Category: Special Issue Title: Coastal, Offshore and Ocean Engineering

Publié en ligne: 23 mai 2017

Pages: 97 - 107

DOI: https://doi.org/10.1515/pomr-2017-0027

Mots clésmodelling, mechanical system, dynamic systems, vibrations, hybrid modelling methods

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
modelling, mechanical system, dynamic systems, vibrations, hybrid modelling methods