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DTM 502E - Dynamics of Marine Structures

Course Objectives

Course Description Structural Dynamics; basic principles, single degree of freedom, undamped behavior, finding the natural frequency, types of loads, free oscillation, forced vibration. Mathematical modeling of Real Elastic Structures; matrix theory of vibration, free vibration, matrix iteration. Determination of lowest natural frequency, proof of convergence in iteration, orthogonality of the normal modes, uncoupled vibration, forced vibration. The energy or Rayleigh method of determining approximate frequencies; energy of system, Rayleigh method of determining Approximate frequencies, approximate analysis of a general system, selection of the vibration shape, Improved Rayleigh method. Lagrange equation of motion; Lagragian method, generalized force. Natural frequencies and mode shapes of marine risers; an approximate solution, strain energy due to bending, strain energy due to tension, evaluating of integrals, total strain energy, kinetic energy. Rayleig-Ritz method for approximate frequencies. Lateral vibration of cables under tension; differential equation of string under uniform tension, approximate frequencies of risers and pipelines, Newmark ?-method, numerical solution of differential equations, numerical solution of differential equations. Natural Frequencies and mode shapes of uniform beams; boundary conditions, simple supported, clamped supported, free end. Natural frequencies of Buoy system.

Course Description

Course Description Structural Dynamics; basic principles, single degree of freedom, undamped behavior, finding the natural frequency, types of loads, free oscillation, forced vibration. Mathematical modeling of Real Elastic Structures; matrix theory of vibration, free vibration, matrix iteration. Determination of lowest natural frequency, proof of convergence in iteration, orthogonality of the normal modes, uncoupled vibration, forced vibration. The energy or Rayleigh method of determining approximate frequencies; energy of system, Rayleigh method of determining Approximate frequencies, approximate analysis of a general system, selection of the vibration shape, Improved Rayleigh method. Lagrange equation of motion; Lagragian method, generalized force. Natural frequencies and mode shapes of marine risers; an approximate solution, strain energy due to bending, strain energy due to tension, evaluating of integrals, total strain energy, kinetic energy. Rayleig-Ritz method for approximate frequencies. Lateral vibration of cables under tension; differential equation of string under uniform tension, approximate frequencies of risers and pipelines, Newmark ?-method, numerical solution of differential equations, numerical solution of differential equations. Natural Frequencies and mode shapes of uniform beams; boundary conditions, simple supported, clamped supported, free end. Natural frequencies of Buoy system.

Course Coordinator
İsmail Hakkı Helvacıoğlu
Course Language
English
 
 
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