1. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Overview of the proposed modeling scheme Figure Legend:

2. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Substructural assembly by enforcing continuity constraints, (a) compatible substructures, (b) incompatible substructures Figure Legend:

3. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Flow chart for determining mode cut-off number Figure Legend:

4. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 NRFD and MAC comparison for standard component mode synthesis scheme (left) and iterated improved component mode synthesis scheme (right) Figure Legend:

5. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Substructural assembly of the spindle-spindle housing substructure with the column substructure through constraint formulations Figure Legend:

6. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Comparison of TCP FRFs for solution: with different constraint formulations (top), and with different numerical methods (bottom) Figure Legend:

7. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Comparison of full order model and reduced order model TCP FRFs at three different positions: top position (top), mid position (middle), and bottom position (bottom) Figure Legend:

8. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Stability boundaries at two distinct positions (left) and the corresponding chatter frequencies (right) for machining AISI 1045 common steel Figure Legend:

9. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models J. Manuf. Sci. Eng. 2013;135(2):021008-021008-11. doi:10.1115/1.4023453 Stability boundaries at two distinct positions (left) and the corresponding chatter frequencies (right) for machining Al 7075-T6 Figure Legend: