| 基于非线性模型的沥青路面动力响应研究 |
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| 引用本文： | 史春娟, 吕彭民. 基于非线性模型的沥青路面动力响应研究[J]. 工程力学, 2013, 30(2): 326-331,347. DOI: 10.6052/j.issn.1000-4750.2011.07.0454 |
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| 作者姓名： | 史春娟 吕彭民 |
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| 作者单位： | (长安大学工程机械学院，西安 710064) |
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| 基金项目： | 国家西部交通建设科技项目(200531881212) |
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| 摘 要： | 根据路基变形的非线性及沥青路面具有明显粘弹性的特点，将沥青路面简化为非线性粘弹性地基上的粘弹性无限长梁，建立了移动载荷作用下非线性粘弹性梁系统动力响应数学模型。利用Adomian分解法和小波变换法得到求解稳态响应解析解的新方法。通过实际道路参数对沥青路面动力响应进行了数值仿真，研究了车速、车辆轴载、路面材料及温度对沥青路面动力响应的影响规律。结果表明该文提出的计算方法简便、快捷，是求解该类非线性动力响应问题的一种有效方法；非线性模型更能准确地反映重载及超载时沥青路面实际结构受力状态。
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| 关 键 词： | 动力响应 非线性系统 粘弹性梁 沥青路面 Adomian分解法 小波变换法 |
STUDY ON THE DYNAMIC RESPONSE OF ASPHALT PAVEMENT BASED ON THE NONLINEAR VISCOELASTIC MODEL |
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| SHI Chun-juan, Lü Peng-min. STUDY ON THE DYNAMIC RESPONSE OF ASPHALT PAVEMENT BASED ON THE NONLINEAR VISCOELASTIC MODEL[J]. Engineering Mechanics, 2013, 30(2): 326-331,347. DOI: 10.6052/j.issn.1000-4750.2011.07.0454 |
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| Authors: | SHI Chun-juan Lü Peng-min |
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| Affiliation: | (School of Construction Machinery, Chang’an University, Xi’ an 710064, China) |
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| Abstract: | Because the roadbed deformation is nonlinear and the asphalt pavement has significant viscoelastic performance, the asphalt pavement is treated as an infinite long viscoelastic beam on the nonlinear roadbed. A mathematical model of the dynamic response of this beam is established under a moving load. An analytical solution of the steady response of the model is obtained by using Adomian’s modified decomposition method and wavelet method. The asphalt pavement dynamic response is simulated according to the actual road parameters. The effects of velocity, axis loads, pavement materials and temperature on the dynamic response are studied. The results show that this new method is simple, fast, and effective to solve nonlinear dynamic response problems. The nonlinear model can reflect the stress state of the real structure more accurately under the surcharge load or heavy load. |
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| Keywords: | dynamic response nonlinear system viscoelastic beam asphalt pavement Adomian modified decomposition method wavelet method |
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