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Titlebook: Computer Aided Analysis and Optimization of Mechanical System Dynamics; Edward J. Haug Conference proceedings 1984 Springer-Verlag Berlin

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Spatial Kinematic and Dynamic Analysis with Euler Parametersre of considerable interest in themselves. Euler parameters are employed to derive interesting and useful identities. Physical interpretation of Euler parameters and their corresponding transformation matrices are discussed. Finally, Lagrange’s equations of motion in terms of Euler parameters for a rigid body is presented.
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Some Methods for Dynamic Analysis of Constrained Mechanical Systems: A Surveytion without any consideration for constraint violation. The other two algorithms consider the violation of the kinematic constraints and correct the violation in two different ways. A brief comparison between these algorithms is also provided.
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Quaternions and Euler Parameters — A Brief Expositionsystems and synthesis of mechanisms, quaternion theory may be found under the guise of Euler parameters, dual numbers, dual quaternions, rotation tensors, screw axis calculus, etc. Quaternion algebra has been applied to obtain analytical solutions, and to classify single- and multi-degree-of-freedom
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