Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 10American Society of Mechanical Engineers, 1991 - Arctic regions |
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Page 509
... parameters . MATHIEU STABILITY CHART FOR WIDE RANGE OF PARAMETERS A canonical form of the Mathieu equations takes its form by excluding the nonlinear damping term of equation ( 5 ) , i.e. , d2f dr2 + ( 8-2q cos 2t ) f = 0 ( 6 ) A ...
... parameters . MATHIEU STABILITY CHART FOR WIDE RANGE OF PARAMETERS A canonical form of the Mathieu equations takes its form by excluding the nonlinear damping term of equation ( 5 ) , i.e. , d2f dr2 + ( 8-2q cos 2t ) f = 0 ( 6 ) A ...
Page 510
... parameters but very useful to identify the global pattern of solutions . Of the perturbation techniques , the averaging method is employed in this work to solve the nonlinear Mathieu equation , equation ( 5 ) . The solution is ...
... parameters but very useful to identify the global pattern of solutions . Of the perturbation techniques , the averaging method is employed in this work to solve the nonlinear Mathieu equation , equation ( 5 ) . The solution is ...
Page 568
... Parameters The generalised dynamic parameters are dependent upon the assumed mode shape . With application of the mode shape given in equation ( 11 ) , these parameters can be obtained by appropriate integration , and are presented ...
... Parameters The generalised dynamic parameters are dependent upon the assumed mode shape . With application of the mode shape given in equation ( 11 ) , these parameters can be obtained by appropriate integration , and are presented ...
Contents
CASE HISTORIES OFFSHORE STRUCTURES | 331 |
OFFSHORE TECHNOLOGY PART | 337 |
OFFSHORE STRUCTURE CONCEPTS | 361 |
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acceleration accelerometers added mass amplitude axial beam behaviour bending stiffness cable calculated Campos Basin catenary coefficient compliant tower components curvature curves cylinder damping ratio deck deformation developed diameter displacement drag drag coefficient dynamic analysis dynamic response effect Ekofisk elastic Engineering equation finite element finite element method flexible pipe fluid force free-fall lifeboat frequency domain hydrodynamic hydrodynamic damping impact in-span installation jack jacket joint launch length lift force linear load Mathieu Mathieu equation measured Mechanics meters method mode mode shape motion natural frequency nodal nodes nonlinear obtained Offshore Structures OMAE operation oscillation parameters phase pile platform pressure rotation seabed semi-rigid shear shown in Figure skin friction soil solution SPUS static analysis stiffness matrix submarine subsea support point tension tether torque transverse values vector velocity vertical vessel vibration Volume I-B water depth