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Sagittal Pelvic Radius in Low-Grade Isthmic Lumbar Spondylolisthesis of Chinese Population
Zhao, Yang,Shen, Cai-Liang,Zhang, Ren-Jie,Cheng, Da-Wei,Dong, Fu-Long,Wang, Jun The Korean Neurosurgical Society 2016 Journal of Korean neurosurgical society Vol.59 No.3
Objective : To investigate the variation of pelvic radius and related parameters in low-grade isthmic lumbar spondylolisthesis. Methods : Seventy-four patients with isthmic lumbar spondylolisthesis and 47 controls were included in this study. There were 17 males and 57 females between 30 and 66 years of age, including 30 with grade I slippages and 44 grade II slippages; diseased levels included 34 cases on L4 and 40 cases on L5. Thoracic kyphosis (TK), the pelvic radius (PR), the pelvic angle (PA), pelvic morphology (PR-S1), and total lumbopelvic lordosis (PR-T12) were assessed from radiographs. Results : Statistically significant differences were found for the PA, PR-T12, and PR-S1 ($24.5{\pm}6.6^{\circ}$, $83.7{\pm}9.8^{\circ}$, and $25.4{\pm}11.2^{\circ}$, respectively) of the patients with spondylolisthesis and the healthy volunteers ($13.7{\pm}7.8^{\circ}$, $92.9{\pm}9.2^{\circ}$, and $40.7{\pm}8.9^{\circ}$, respectively). The TK/PR-T12 ratios were between 0.15 and 0.75. However, there were no differences in all the parameters between the L4 and L5 spondylolysis subgroups (p>0.05). The TK and PR-S1 of grade II were less than grade I, but the PA was greater. The PR-T12 of female patients were less than male patients, but the PA was greater (p<0.05). Conclusion : Pelvic morphology differed in patients with low-grade isthmic lumbar spondylolisthesis compared to controls. Gender and the grade of slippage impacted the sagittal configuration of the pelvis, but the segment of the vertebral slip did not. Overall, the spine of those with spondylolisthesis remains able to maintain sagittal balance despite abnormal pelvic morphology.
Theoretical analysis of Y-shape bridge and application
Lu Peng-zhen,Zhang Jun-ping,Zhao Ren-da,Huang Hai-yun 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.31 No.2
Mechanic behavior of Y-shape thin-walled box girder bridge structure is complex, so one can not exactly hold the mechanical behavior of the Y-shape thin-walled box girder bridge structure through general calculation theory and analytical method. To hold the mechanical behavior better, based on elementary beam theory, by increasing the degree of freedom analytical method, taking account of restrained torsiondistortion angledistortion warp and shearing lag effect at the same time, authors obtain a thin-walled box beam analytical element of 10 degrees of freedom of every node, derive stiffness matrix of the element, and code a finite element procedure. In addition, authors combine the obtained procedure with spatial grillage analytical method, meanwhile, they build a new analytical method that is the spatial thin-walled box girder element grillage analysis method. In order to validate the precision of the obtained analysis method, authors analyze a type Y-shape thin-walled box girder bridge structure according to the elementary beam theory analytical method, the shell theory analytical method and the spatial thin-walled box girder element grillage analysis method respectively. At last, authors test a type Y-shape thin-walled box girder bridge structure. Comparisons of the results of theory analysis with the experimental text show that the spatial thin-walled box girder element grillage analysis method is simple and exact. The research results are helpful for the knowledge of the mechanics property of these Y-shape thin-walled box girder bridge structures.