Contribution to the Calculation of the Linear and Non-Linear Behaviour of Hingless Rotor Blades with Uneven Blade Properties - A Simple Calculation Tool.

Abstract

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. The calculation tool is validated and here after valued with available databases for rotor blades and with solutions given by analytical calculations.