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中文核心期刊

基于几何精确梁的侧凸脊柱降阶建模及振动分析

REDUCED-ORDER MODELING OF SCOLIOSIS SPINE AND VIBRATION ANALYSIS BASED ON GEOMETRICALLY EXACT BEAM

  • 摘要: 本文提出了基于医学影像与几何精确描述的脊柱侧凸患者胸腰椎多柔体动力学建模方法,并通过振动模态与传递率分析,理解脊柱侧凸对其人因振动响应的影响机制。基于正侧位X光片提取侧凸脊柱三维几何参数,结合运动节律约束,驱动脊柱肌骨系统动力学模型调整至侧凸脊柱构型。在此基础上,将椎间盘及与其相连的两个椎体简化为几何精确梁单元,单元节点旋转矢量对应椎体三维姿态,单元刚度矩阵由包含椎间盘、韧带及肌肉贡献的椎间刚度线性化得到。进一步,开展侧凸脊柱模态与振动传递率分析,探讨侧凸脊柱形态对其生物动力学响应的影响机制。数值分析得到的固有频率、头足向传递率等结果与文献实测值具有一致性,脊柱侧凸会引起其矢状面、冠状面振动耦合,矢状面外振动降低了侧凸脊柱头足向共振幅值。本研究为揭示脊柱侧凸患者的个性化人因振动机制提供了多柔体动力学建模与分析方法,为车辆振动舒适性评估、临床诊疗康复方案设计等提供了理论支撑与定量分析模型。

     

    Abstract: This study proposes a flexible multibody dynamics modeling approach for the thoracolumbar spine of scoliosis patients based on medical imaging and geometrically exact beam formulation (GEBF). It aims to investigate the influence mechanism of spinal scoliosis on human vibration responses through vibration modal and transmissibility analyses. Three-dimensional geometric parameters of the scoliotic spine were extracted from anteroposterior and lateral radiographs and integrated with kinematic rhythm constraints to adjust a spinal musculoskeletal dynamics model to fit the scoliotic configuration. On this basis, the intervertebral discs (IVDs) and their adjacent vertebrae were simplified as geometrically exact beam elements, where the rotational vector at each node corresponded to the three-dimensional vertebral posture. The element stiffness matrix was linearized from intervertebral stiffness incorporating contributions of IVDs, ligaments, and muscles. Furthermore, modal and vibration transmissibility analyses of the scoliotic spine were conducted to explore the influence mechanisms of scoliotic spine morphology on the biodynamic response. Numerical results of natural frequencies and sit-to-head transmissibility ratios aligned with experimental measurements in the literature. Additionally, the scoliotic spines exhibited coupled vibration characteristics in the sagittal and coronal planes, and the vibration out of the sagittal plane reduced the sit-to-head vibration amplitude. The proposed methodology provides a flexible multibody dynamics modeling and analysis framework for revealing subject-specific human-related vibration mechanisms in scoliotic patients, offering theoretical support and quantitative analysis models for vehicle vibration comfort evaluation and clinical rehabilitation strategy development.

     

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