Dynamic Analysis of Lifting Cranes

  • N. N. PanasenkoEmail author
  • A. V. Sinelschikov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The finite element method (FEM) which is popular in calculating strength of engineering constructions disposes a long list of basic finite elements (FEs) for building discrete finite element design dynamic models (DDMs) of lifting cranes. The paper presents the general methods of developing equations of motion for crane systems with multiple (n) degrees of freedom and their components in the form of matrixes of stiffness and masses of a thin-walled bar and plate FEs, the latter being analyzed using the Kirchhoff plate theory. The produced final formulas help to analyze the quality of DDM of structural steelworks of the bridge cranes built using bar FEs with a closed profile and plate FEs based on the comparison of general bending stiffness of longitudinal girders and on the comparison of fundamental frequencies (FFs) and eigenforms (EFs) of oscillations of their DDM.


Lifting bridge crane Structural steelworks FEM Finite element Thin-walled bar with closed profile Plate Design dynamic model Equation of motion 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Astrakhan State Technical UniversityAstrakhanRussia
  2. 2.Astrakhan State University of Civil EngineeringAstrakhanRussia

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