Contribution to the calculation of the linear and non-linear behaviour of hingeless rotor blades with uneven blade properties - A simple calculation tool Beitrag zur Berechnung des linearen und nichtlinearen Verhaltens von lagerlosen Rotorblättern mit beliebig verteilten Blatteigenschaften - Ein einfaches Berechnungsverfahren

This paper deals with a simple tool for the calculation of the linear and non-linear behaviour of hingeless rotor blades with uneven blade properties. The calculation bases on the Galerkin Method which was used for solution of the non-linear differential equations given by Hodges and Dowell [1] and aims for the fan diagram respectively rotor design. After a physical analysis of the coupled differential equations, the basics of the calculation tool are described. The calculation is divided into two steps: In step one the linear system of differential equations is solved by a numerical solver based on the Integration Matrix Method [2],[3],[4],[5]. The resulting static and dynamic deflections of the "linear" rotor blade are the inputs for the second part, in which the non-linear differential equations is then solved by the Galerkin Method. [11] The calculation tool is validated and here after valued with available databases for rotor blades and with solutions given by analytical calculations.