This paper presents a new simulation method for ground and air resonance stability analysis of helicopter rotor systems. The method presented is based on the formulation of the full non-linear equations of motion of three rigid offset blades with degrees of freedom in the¯ap and lead/lag and a hub that has two translational degrees of freedom for the body. The set of non-linear equations of motion is developed by the Lagrangian method using symbolic processing software for expanding the equations. In addition, the symbolic software automatically converts the equations of motion into a source code that is optimized for numerical integration. Part 1 of this paper addresses the derivation of the equations of motion for the rotor±body combination. Part 2 of this paper addresses the comparison of simulation output to referenced works and includes several unique applications that take advantage of the non-linear capability of the resulting simulation.
This paper presents a unique simulation method for the ground and air resonance of helicopter rotor systems; the derivation of the full non-linear equations of motion for a rotor±body combination with three rigid blades was discussed in Part 1 of this paper. This section, Part 2, addresses the con®rmation of the simulation and includes several unique applications that take advantage of the non-linear capability of the resulting simulation. The symbolic processing software that performed the derivation converted the equations of motion into a high-level language. This code is then incorporated into an interactive numerical methods environment. The modelling method includes all terms, including non-linear and trigonometric functions, and produces inherently highly reliable code results from eliminating manual coding of the equations of motion.
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