Chinese Journal of Tissue Engineering Research ›› 2018, Vol. 22 ›› Issue (35): 5648-5654.doi: 10.3969/j.issn.2095-4344.1011
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Fan Ruoxun1, 2, Liu Jie1, Liu Jun3, Gao Jiazi2
Online:
2018-12-18
Published:
2018-12-18
About author:
Fan Ruoxun, PhD, Lecturer, College of Automotive Engineering, Jilin Institute of Chemical Technology, Jilin 132022, Jilin Province, China; College of Mechanical Science and Engineering, Jilin University, Changchun 130025, Jilin Province, China
Supported by:
the Science and Technology Project of the Education Department of Jilin Province, No. JJKH20180560KJ; the Open Foundation of the State Key Laboratory of Automotive Simulation and Control, No. 20171114
CLC Number:
Fan Ruoxun, Liu Jie, Liu Jun, Gao Jiazi. Mechanism of the low-frequency vibration generated by vehicle driving effects on the human lumbar spine: a dynamic simulation analysis [J]. Chinese Journal of Tissue Engineering Research, 2018, 22(35): 5648-5654.
2.1 腰椎有限元模型验证 为验证所建立腰椎有限元模型的准确性,需与文献中腰椎压缩实验数据进行对比。通过模拟实验加载条件,对腰椎有限元模型施加30 min、 1 000 N的轴向压力,预测椎体骨结构产生的应变值[31]。文献中腰椎压缩实验测得椎体前、中、后部区域在弹性阶段的应变分别为0.694%,0.301%和0.388%,在蠕变阶段的应变分别为0.433%,0.163%和0.614%,说明椎体前部变形最大,中部最小。如图2所示,腰椎有限元模型的仿真应变云图也同样显示椎体骨结构前部区域应变较大,中部较小,而且如表2所示,在30 min压缩载荷作用下,该文所建立模型预测得出椎体骨结构在各个位置的应变值也与实验值较为接近,验证了所建立腰椎有限元模型的准确性。"
2.2 不同振动频率对腰间盘轴向有效应力的影响 轴向有效应力是指由多孔结构中固体骨架所承载的外部轴向(Z轴)压力。图3显示了不同振动频率作用下腰间盘所受平均轴向有效应力随加载时间的变化情况(平均轴向有效应力指腰间盘所有单元产生的轴向有效应力总和除以腰间盘单元总数)。 首先可以看出,不同频率振动下轴向有效应力均随加载时间逐渐增大,但增幅不同。相比动态载荷,静态载荷产生的应力明显偏小,且随时间增长幅度也较小;1 Hz振动产生的轴向有效应力在加载前期数值变化频率较快,在后半段逐渐呈线性稳定趋势;3 Hz振动产生的轴向有效应力在加载后半程明显大于其他振动频率,且与其他振动频率产生的应力差值随时间增长有扩大趋势;7 Hz与9 Hz的振动规律较为相似,轴向有效应力的最大值与最小值在后半段均大于5 Hz,并且二者产生的应力值在后半段的数值变化也基本呈现稳定的周期变换状态。"
2.3 不同振动频率对腰间盘径向位移的影响 图4显示了不同振动频率作用下腰间盘径向最大位移随振动时间的变化情况。 在加载起始阶段,各位移曲线均呈线性上升状态,短时间内达到较高值,随后上升趋势变缓。在加载前半段,不同频率振动所致径向位移曲线均呈周期循环变化,而且位移峰值相差较小。在加载后半段,1 Hz振动作用下径向最大位移未继续呈周期循环变化;5 Hz振动作用下,径向位移虽仍呈周期循环变化,但曲线波峰波谷数值差异逐渐缩小,有趋于稳定的趋势;相反,3 Hz振动产生的曲线变化周期长,数值变换幅度大,且位移峰值明显大于其他振动频率所产生的位移;7 Hz与9 Hz振动在加载初期数值的变化周期较小,随着加载时间增长,位移曲线逐渐呈现一种稳定状态,即在加载后期,不同周期下位移的最大值与最小值基本保持不变。"
2.4 不同振动频率对髓核孔压的影响 孔压指在多孔结构中由于体液交换引起压差所产生的一种能够抵抗外部压力的压强。孔压与有效应力共同组成了多孔结构在外部载荷作用下所承载的应力总和。图5显示了髓核平均孔压在不同振动频率作用下的变化(髓核平均孔压指髓核所有单元产生的孔压总和除以髓核单元总数)。首先可以看出不同载荷作用下,孔压在加载起始阶段达到峰值,而后随加载时间增长逐渐消散。静态载荷作用下孔压峰值最大,且下降幅度最小,加载结束时孔压值最高;1 Hz振动作用下髓核孔压数值在前期变化频率较快,后期呈稳定趋势;3 Hz振动的孔压曲线与其他振动有显著差异,虽也呈现周期变化,但每个周期内孔压数值变化大,且随周期变化孔压下降幅度也较大,与其他频率作用下的孔压差值有逐渐扩大的趋势;7 Hz与9 Hz振动所致的孔压变化情况基本相同,二者在初期引起的孔压最高值与孔压下降程度也基本一致,同时二者的孔压最小值均 < 5 Hz振动所产生的孔压值。"
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