TY - JOUR
T1 - Analysis and reanalysis of mechanical systems
T2 - concept of global near-regularity
AU - Shojaei, Iman
AU - Kaveh, Ali
AU - Rahami, Hossein
AU - Shirazi, Reza
AU - Bazrgari, Babak
N1 - Publisher Copyright:
© 2016, Springer-Verlag Wien.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - Some near-regular mechanical systems involve global irregularities, wherein a large number of degrees of freedom are affected by irregularity. However, no efficient solution for such global near-regular systems has yet been developed. In this paper, methods for static and dynamic analyses/reanalyses of these systems are established using graph product rules combined with matrix analysis and linear algebra. Also, these methods are generalized to systems with nonlinear behavior. The developed formulations allow reduction in computational time and storage compared to those of conventional methods. As a practical example of a global near-regular mechanical system, a subject-specific finite element mechanical model of the human spine is developed and presented.
AB - Some near-regular mechanical systems involve global irregularities, wherein a large number of degrees of freedom are affected by irregularity. However, no efficient solution for such global near-regular systems has yet been developed. In this paper, methods for static and dynamic analyses/reanalyses of these systems are established using graph product rules combined with matrix analysis and linear algebra. Also, these methods are generalized to systems with nonlinear behavior. The developed formulations allow reduction in computational time and storage compared to those of conventional methods. As a practical example of a global near-regular mechanical system, a subject-specific finite element mechanical model of the human spine is developed and presented.
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U2 - 10.1007/s00707-016-1778-z
DO - 10.1007/s00707-016-1778-z
M3 - Article
AN - SCOPUS:85027954043
SN - 0001-5970
VL - 228
SP - 1445
EP - 1456
JO - Acta Mechanica
JF - Acta Mechanica
IS - 4
ER -