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 508
... equation parameters . In this case of TLPs , typical numerical values for such platforms lead to parameter values that are large and , therefore , it is necessary to investigate the Mathieu equation over a large parameter range ...
... equation parameters . In this case of TLPs , typical numerical values for such platforms lead to parameter values that are large and , therefore , it is necessary to investigate the Mathieu equation over a large parameter range ...
Page 509
... equation ( 5 ) , i.e. , d2f dr2 + ( 8-2q cos 2t ) f = 0 ( 6 ) A particular characteristic of the Mathieu equation is that it contains a periodically varying coefficient as a special case of the Hill equation . This means that the ...
... equation ( 5 ) , i.e. , d2f dr2 + ( 8-2q cos 2t ) f = 0 ( 6 ) A particular characteristic of the Mathieu equation is that it contains a periodically varying coefficient as a special case of the Hill equation . This means that the ...
Page 510
... equation , equation ( 5 ) . The solution is considered only to a first approximation . Follow the averaging method ( see e.g. Minorsky [ 9 ] for further details ) f = â cos ( t + ô ) − ( aq ) . - { cos 2ê cos 3 ( t + ê ) + sin 2ê cos 3 ...
... equation , equation ( 5 ) . The solution is considered only to a first approximation . Follow the averaging method ( see e.g. Minorsky [ 9 ] for further details ) f = â cos ( t + ô ) − ( aq ) . - { cos 2ê cos 3 ( t + ê ) + sin 2ê cos 3 ...
Contents
CASE HISTORIES OFFSHORE STRUCTURES | 331 |
OFFSHORE TECHNOLOGY PART | 337 |
OFFSHORE STRUCTURE CONCEPTS | 361 |
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acceleration accelerometers added mass amplitude axial behaviour bending stiffness cable calculated Campos Basin catenary coefficient components coordinate 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 flexible riser fluid free-fall lifeboat frequency domain hydrodynamic hydrodynamic damping impact in-span installation jack jacket joint launch length lifeboat lift force linear load Mathieu Mathieu equation measured Mechanics meters method mode mode shape motion natural frequency nodal nodes nonlinear obtained Offshore Structures Offshore Technology ASME OMAE operation oscillation parameters phase pile platform pressure ratio rotation seabed 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