Comment on "Direct Component Modal Synthesis Technique for System Dynamic Analysis"

Dowell, Earl H.

doi:10.2514/3.48913

Cited by 1 publication

(2 citation statements)

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“…The solution of the second substructure is formulated in the same way. The derivation of an algorithm with a minimum number of nonlinear equations relates the present paper to the component mode analysis, which has been developed by Tongue and Dowell [3] with respect to the transient behaviour of systems with localized nonlinearities and has been extended by Dowell [4]. The Lagrange multiplier method is used in both papers to incorporate the compatibility conditions of the substructures.…”

Section: Introductionmentioning

confidence: 99%

“…Kim and Park [5] applied this component mode analysis to nonlinear transient vehicle dynamics. In contrast to the present method the formulation in Dowell [4] is set up separately for the subsystems. Furthermore, we end with a nonlinear system of equations for the increments of the master degrees of freedom, which is solved with the modified Newton-Raphson-method.…”

Section: Introductionmentioning

confidence: 99%

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A Modal‐Based Substructure Method Applied to Nonlinear Rotordynamic Systems

Holl

2009

International Journal of Rotating Machinery

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The discretisation of rotordynamic systems usually results in a high number of coordinates, so the computation of the solution of the equations of motion is very time consuming. An efficient semianalytic time-integration method combined with a substructure technique is given, which accounts for nonsymmetric matrices and local nonlinearities. The partitioning of the equation of motion into two substructures is performed. Symmetric and linear background systems are defined for each substructure. The excitation of the substructure comes from the given excitation force, the nonlinear restoring force, the induced force due to the gyroscopic and circulatory effects of the substructure under consideration and the coupling force of the substructures. The high effort for the analysis with complex numbers, which is necessary for nonsymmetric systems, is omitted. The solution is computed by means of an integral formulation. A suitable approximation for the unknown coordinates, which are involved in the coupling forces, has to be introduced and the integration results in Green's functions of the considered substructures. Modal analysis is performed for each linear and symmetric background system of the substructure. Modal reduction can be easily incorporated and the solution is calculated iteratively. The numerical behaviour of the algorithm is discussed and compared to other approximate methods of nonlinear structural dynamics for a benchmark problem and a representative example.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%