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Extra resources for Beam Dynamics Issues for 1 TeV Linear Collider
4 “Modiﬁed” Guyan reduction selected load patches Two separate reduction schemes and TAM mass matrices are evaluated herein, namely: (1) Six load patches per axial station (excluding the seventh “bulge, FR” patch) (2) Seven load patches per axial station. 4. N. S. Air Force and NASA standards (off-diagonal terms less than 10 %). This is attributed to the fact that many of the shape functions, [‰ af ]m , accentuate cross-sectional nearly rigid body displacement patterns. The non-negligible summed RKE in the 22nd “body” mode, while 40 %, is not associated with unsatisfactory predicted modal orthogonality.
The proposed methods are demonstrated by coupling a modal model of a 3DOF system with three discrete Iwan joints to a linear model for a 2DOF system. 1 Introduction Experimental-analytical substructuring allows one to couple an experimentally derived model for a structure that is difﬁcult to model, with a ﬁnite element model for the rest of the assembly in order to predict the system’s response. While there are countless compelling industrial applications, many of the systems that are most difﬁcult to model, and hence where experimental-analytical substructuring would be most beneﬁcial, contain many interfaces with bolted joints.
S. Air Force and NASA standards (off-diagonal terms less than 10 %). This is attributed to the fact that many of the shape functions, [‰ af ]m , accentuate cross-sectional nearly rigid body displacement patterns. The non-negligible summed RKE in the 22nd “body” mode, while 40 %, is not associated with unsatisfactory predicted modal orthogonality. However, study of this mode’s deformation, kinetic energy distribution, and RKE distribution provides some indication of regions of the structure requiring further TAM deﬁnition, as illustrated below in Fig.