版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
LS-DYNA:LS-DYNA碰撞仿真技术1LS-DYNA软件概述LS-DYNA是一款由美国LSTC公司开发的多物理场仿真软件,特别擅长于处理非线性动力学问题,如碰撞、爆炸、金属成型等。它采用显式时间积分方法,能够高效地模拟高速冲击和大变形过程,是汽车、航空航天、国防、土木工程等行业进行结构动力学分析的首选工具。1.1显式时间积分方法显式时间积分是LS-DYNA的核心算法之一,它通过时间步长迭代求解动力学方程,适用于解决瞬态动力学问题。显式方法不需要求解大型线性方程组,因此在处理大规模问题时具有较高的计算效率。1.1.1示例:显式时间积分求解弹簧-质量系统假设有一个简单的弹簧-质量系统,质量为m,弹簧刚度为k,初始位移为u0,初始速度为vm在LS-DYNA中,可以使用显式时间积分方法求解该方程。下面是一个简单的LS-DYNA输入文件示例,用于模拟上述系统:*keyword
*control_time
1.e-3,1.e-6,1.e-6
*control_steady_state
1.e-3,1.e-6
*control_termination
1.e-3,1.e-6
*control_dynamics
1.e-3,1.e-6
*control_equation
1.e-3,1.e-6
*control_output
1.e-3,1.e-6
*control_stress
1.e-3,1.e-6
*control_contact
1.e-3,1.e-6
*control_contact_normal
1.e-3,1.e-6
*control_contact_tangential
1.e-3,1.e-6
*control_contact_erosion
1.e-3,1.e-6
*control_contact_thermal
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-3,1.e-6
*control_contact_thermal_normal
1.e-3,1.e-6
*control_contact_thermal_tangential
1.e-3,1.e-6
*control_contact_thermal_erosion
1.e-
#LS-DYNA:基础设置教程
##LS-DYNA安装与配置
在开始使用LS-DYNA进行碰撞仿真之前,首先需要确保软件已经正确安装并配置在您的计算机上。以下步骤将指导您完成这一过程:
###1.下载LS-DYNA安装包
访问LS-DYNA官方网站或通过授权的渠道获取最新版本的LS-DYNA安装包。确保下载的版本与您的操作系统兼容。
###2.安装LS-DYNA
1.**运行安装程序**:双击下载的安装包,启动安装向导。
2.**接受许可协议**:阅读并接受LS-DYNA的许可协议。
3.**选择安装类型**:选择“完整安装”以包含所有必要的组件,或“自定义安装”以选择特定的模块。
4.**指定安装路径**:选择一个合适的目录来安装LS-DYNA。
5.**安装环境配置**:根据提示配置环境变量,确保LS-DYNA可以在您的系统中被正确识别和运行。
###3.配置LS-DYNA
配置LS-DYNA涉及设置环境变量和确保软件可以访问必要的资源,如许可证服务器和硬件加速器。
####设置环境变量
在Windows系统中,可以通过以下步骤设置环境变量:
```bash
setLS_DYNA=<path_to_LS-DYNA_directory>
setLS_DYNA_LICENSE_FILE=<path_to_license_file>配置许可证服务器确保您的许可证服务器信息正确配置,以便LS-DYNA可以连接并验证许可证。setLM_LICENSE_FILE=<path_to_license_file>1.2用户界面和基本操作LS-DYNA提供了直观的用户界面,使用户能够轻松地进行模型设置、运行仿真和分析结果。1.2.1启动LS-DYNA在命令行中输入以下命令来启动LS-DYNA:lsprepost这将打开LS-DYNA的预处理和后处理界面。1.2.2创建新模型在LS-DYNA中,可以通过以下步骤创建新模型:选择材料:定义模型中使用的材料属性。构建几何:使用内置的几何工具或导入CAD模型来构建您的设计。设置边界条件:定义模型的约束和载荷。网格划分:选择合适的网格类型和尺寸,以确保仿真精度和效率。1.2.3运行仿真在完成模型设置后,可以运行仿真:保存模型:确保所有更改都已保存。选择求解器设置:根据仿真类型选择合适的求解器参数。运行仿真:在预处理界面中,选择运行仿真选项,LS-DYNA将开始计算并生成结果文件。1.2.4分析结果仿真完成后,使用LS-DYNA的后处理功能来分析结果:加载结果文件:选择仿真生成的输出文件。查看动画:通过动画功能查看模型在仿真过程中的动态行为。分析数据:使用内置工具来分析应力、应变、位移等关键数据。1.2.5示例:创建一个简单的2D梁模型假设我们想要创建一个简单的2D梁模型,以演示LS-DYNA的基本操作。以下是一个简化的步骤:定义材料:假设梁由钢制成,可以使用以下材料卡定义材料属性:*MAT_ELASTIC
1,1.0e+07,0.3这里,1是材料ID,1.0e+07是杨氏模量,0.3是泊松比。构建几何:使用LS-DYNA的内置工具或导入CAD模型来创建一个2D梁的几何形状。设置边界条件:固定梁的一端,另一端施加一个垂直向下的力。可以使用以下边界条件卡:*BOUNDARY_SPC
1,0,0,0,0,0
*BOUNDARY
2,0,0,0,0,0,1000,0,0,0,0,0*BOUNDARY_SPC用于固定节点,*BOUNDARY用于施加力。网格划分:选择合适的网格尺寸,例如:*ELEMENT_SOLID
1,1,2,3,4这里,1是元素ID,1是材料ID,2,3,4是节点ID。运行仿真:保存模型,选择合适的求解器设置,然后运行仿真。分析结果:加载仿真结果,查看梁的变形动画,分析应力分布。通过以上步骤,您已经了解了如何在LS-DYNA中创建和运行一个简单的碰撞仿真模型。随着经验的积累,您可以探索更复杂的模型和高级功能,以满足更具体的研究和工程需求。2模型创建2.1几何模型导入在LS-DYNA碰撞仿真中,几何模型的导入是仿真流程的第一步。这通常涉及到将CAD模型转换为LS-DYNA可以识别的格式。LS-DYNA支持多种格式,包括IGES、STEP、VTK、以及一些专有的CAD系统格式。2.1.1示例:使用IGES格式导入几何模型假设你有一个汽车前保险杠的IGES格式模型,你想要导入到LS-DYNA中进行碰撞仿真。以下是导入模型的基本步骤:准备IGES文件:确保你的CAD模型已经导出为IGES格式。使用前处理器:如HyperMesh或Patran,这些工具可以将IGES文件转换为LS-DYNA的输入文件格式。代码示例(在HyperMesh中使用Python脚本导入IGES模型)#HyperMeshPythonAPI示例
#导入必要的模块
fromhyperapiimporthyperversion
fromhyperapi.hypermeshimportHyperMesh
#创建HyperMesh实例
hm=HyperMesh()
#设置工作目录
hm.set_working_directory('C:\\LS-DYNA\\Models')
#导入IGES模型
hm.import_iges('bumper.iges')
#保存模型
hm.save('bumper.h3d')这段代码展示了如何使用HyperMesh的PythonAPI来导入一个名为bumper.iges的IGES文件,并将其保存为HyperMesh可以进一步编辑的.h3d文件。2.2材料属性定义材料属性的定义对于准确模拟碰撞行为至关重要。LS-DYNA提供了多种材料模型,包括但不限于弹性材料、塑性材料、复合材料等。每种材料模型都有其特定的参数集,用于描述材料在不同条件下的行为。2.2.1示例:定义弹性材料假设你正在模拟的保险杠由铝制成,你需要定义其弹性材料属性。材料属性定义代码示例#在HyperMesh中定义材料属性
#导入必要的模块
fromhyperapi.hypermeshimportHyperMesh
#创建HyperMesh实例
hm=HyperMesh()
#设置工作目录
hm.set_working_directory('C:\\LS-DYNA\\Models')
#加载模型
hm.load('bumper.h3d')
#定义材料属性
#材料类型:弹性材料
#材料ID:1
#弹性模量:70GPa
#泊松比:0.33
hm.define_material('Aluminum','ELASTIC',1,E=70e9,nu=0.33)
#保存模型
hm.save('bumper.h3d')这段代码展示了如何在HyperMesh中定义一个弹性材料属性,材料ID为1,弹性模量为70GPa,泊松比为0.33。2.3网格划分技术网格划分是碰撞仿真准备过程中的关键步骤。它涉及到将几何模型离散化为一系列小的单元,这些单元可以是四面体、六面体、或更复杂的形状。网格的质量直接影响仿真的准确性和计算效率。2.3.1示例:使用六面体网格划分假设你已经定义了保险杠的材料属性,现在需要对其进行网格划分。网格划分代码示例#在HyperMesh中进行六面体网格划分
#导入必要的模块
fromhyperapi.hypermeshimportHyperMesh
#创建HyperMesh实例
hm=HyperMesh()
#设置工作目录
hm.set_working_directory('C:\\LS-DYNA\\Models')
#加载模型
hm.load('bumper.h3d')
#网格划分设置
#选择六面体网格
#设置网格尺寸:10mm
hm.set_meshing_parameters(element_type='HEX',size=10)
#执行网格划分
hm.mesh()
#保存模型
hm.save('bumper.h3d')这段代码展示了如何在HyperMesh中设置六面体网格划分,并将网格尺寸设置为10mm,然后执行网格划分。以上示例和描述详细介绍了如何在LS-DYNA碰撞仿真中进行几何模型导入、材料属性定义以及网格划分技术的使用。这些步骤是碰撞仿真准备过程中的基础,确保了模型的准确性和仿真的可靠性。3边界条件与载荷3.1边界条件设置边界条件在LS-DYNA碰撞仿真中扮演着关键角色,它们定义了模型与外部环境的相互作用方式。边界条件可以是固定约束、滑动约束、旋转约束等,每种约束都有其特定的应用场景和设置方法。3.1.1固定约束固定约束是最常见的边界条件之一,用于模拟模型中某些部分被固定不动的情况。在LS-DYNA中,可以通过关键字*BOUNDARY来定义固定约束。示例代码*BOUNDARY
1,1,0.,0.,0.,0.,0.,0.在上述代码中,1表示节点ID,0.,0.,0.,0.,0.,0.分别对应于六个自由度的约束,即三个平动自由度和三个旋转自由度。所有值为0意味着该节点的所有自由度都被固定。3.1.2滑动约束滑动约束允许模型在特定方向上滑动,而限制其他方向的运动。这在模拟接触面或滑移面时非常有用。示例代码*BOUNDARY_SOLID
1,1,0.,0.,0.,1.,1.,1.这里,*BOUNDARY_SOLID用于定义固体边界条件,1,1表示节点ID和元素ID,0.,0.,0.,1.,1.,1.分别对应于三个平动自由度和三个旋转自由度的约束。前三个0意味着平动自由度被限制,而后三个1意味着旋转自由度被允许。3.2载荷应用方法载荷是碰撞仿真中模拟外力作用的关键。LS-DYNA支持多种载荷类型,包括力、压力、温度、加速度等。3.2.1力载荷力载荷可以直接作用于模型的节点或面上,用于模拟外力的影响。示例代码*LOAD_NODE
1,1,0.,1000.,0.,0.,0.,0.在该代码中,1是节点ID,1是载荷步ID,0.,1000.,0.,0.,0.,0.分别对应于作用在节点上的六个自由度的力。这里,只有Y方向的力被设置为1000.,意味着在Y方向上施加了1000单位的力。3.2.2压力载荷压力载荷通常用于模拟气体或液体对模型表面的作用力。示例代码*LOAD_SURFACE_PRESSURE
1,1,1,1,1000.这里,1,1是载荷步ID和表面ID,1000.是施加的压力值。这表示在表面ID为1的区域上施加了1000单位的压力。3.2.3温度载荷温度载荷用于模拟温度变化对模型的影响,尤其是在热力学分析中。示例代码*LOAD_TEMPERATURE
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
#碰撞仿真分析
##碰撞类型简介
在LS-DYNA碰撞仿真技术中,碰撞类型主要分为以下几种:
1.**正面碰撞**:车辆正面与障碍物或另一车辆的碰撞,通常用于评估车辆的正面安全性能。
2.**侧面碰撞**:车辆侧面与障碍物或另一车辆的碰撞,用于评估侧面安全气囊和车身结构的保护能力。
3.**追尾碰撞**:后车撞击前车的场景,用于评估车辆尾部结构的强度和乘员保护。
4.**翻滚碰撞**:车辆在行驶中发生翻滚,用于评估车辆的翻滚稳定性以及乘员保护系统。
5.**行人保护碰撞**:模拟车辆与行人的碰撞,评估车辆对行人的保护性能。
每种碰撞类型都有其特定的仿真参数和求解器设置,以确保模拟结果的准确性和可靠性。
##仿真参数设置
###1.时间步长控制
时间步长是碰撞仿真中一个关键参数,它影响着仿真的精度和计算效率。在LS-DYNA中,时间步长可以通过关键字`*CONTROL_TIMESTEP`来设置。例如:
```lsdyna
*CONTROL_TIMESTEP
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
#后处理与结果分析
##结果可视化
在LS-DYNA碰撞仿真后,结果可视化是理解仿真输出的关键步骤。这不仅包括查看模型的变形,还包括分析应力、应变、速度、加速度等关键参数的分布。LS-DYNA提供了多种工具和软件接口,如`DYNA3D`、`HyperView`、`Paraview`等,用于结果的可视化。
###示例:使用HyperView进行结果可视化
假设我们有一个LS-DYNA碰撞仿真的结果文件`jobname.d3plot`,下面是如何使用HyperView进行可视化的步骤:
1.**打开HyperView**:启动HyperView软件。
2.**加载结果文件**:在HyperView中,选择`File`>`Open`,然后选择你的`d3plot`文件。
3.**查看模型变形**:在`Display`菜单中,选择`DeformedShape`,这将显示模型在碰撞过程中的变形。
4.**分析应力分布**:在`Display`菜单中,选择`Stress`,然后选择你想要查看的应力类型,如`vonMisesStress`。
5.**动画播放**:使用`Animate`菜单,可以播放碰撞过程的动画,观察模型随时间的动态变化。
##碰撞性能评估
碰撞性能评估是碰撞仿真后处理的重要部分,它涉及到对碰撞结果的深入分析,以评估结构的安全性和性能。这包括计算碰撞力、碰撞能量、变形量、加速度峰值等指标。
###示例:计算碰撞力
在LS-DYNA中,可以通过输出接触力的历史数据来计算碰撞力。假设我们有一个接触力输出文件`jobname.f06`,下面是如何从该文件中提取碰撞力数据的步骤:
1.**打开输出文件**:使用文本编辑器或专门的后处理软件打开`f06`文件。
2.**查找接触力数据**:在文件中搜索包含接触力数据的部分。通常,这些数据会以特定的格式列出,包括时间、接触力的大小和方向等。
3.**数据提取**:使用脚本或编程语言(如Python)来提取这些数据。下面是一个Python脚本的示例,用于从`f06`文件中读取接触力数据:
```python
#Python示例:从f06文件中读取接触力数据
importre
#定义f06文件路径
f06_file_path='jobname.f06'
#定义正则表达式,用于匹配接触力数据
force_pattern=pile(r'\s+(\d+\.\d+)\s+(\d+\.\d+)\s+(\d+\.\d+)\s+(\d+\.\d+)')
#初始化列表,用于存储时间点和对应的接触力
time_force_data=[]
#读取f06文件
withopen(f06_file_path,'r')asfile:
forlineinfile:
match=force_pattern.search(line)
ifmatch:
time=float(match.group(1))
force=float(match.group(4))#假设接触力在第四个位置
time_force_data.append((time,force))
#打印提取的数据
fordataintime_force_data:
print(f'时间:{data[0]},接触力:{data[1]}')数据分析:使用提取的数据进行进一步的分析,如计算最大碰撞力、碰撞力随时间的变化趋势等。3.3数据分析技巧数据分析技巧在碰撞仿真后处理中至关重要,它可以帮助我们更有效地理解仿真结果,识别潜在的问题和优化点。3.3.1示例:使用Python进行数据分析假设我们已经从LS-DYNA的输出文件中提取了碰撞力数据,现在想要使用Python进行更深入的数据分析,如计算最大碰撞力和绘制碰撞力随时间变化的图表。下面是一个Python脚本的示例:#Python示例:数据分析和图表绘制
importmatplotlib.pyplotasplt
#假设我们已经有了时间-碰撞力数据列表
time_force_data=[(0.0,100.0),(0.1,150.0),(0.2,200.0),(0.3,250.0),(0.4,300.0),(0.5,350.0)]
#将数据转换为时间列表和碰撞力列表
times,forces=zip(*time_force_data)
#计算最大碰撞力
max_force=max(forces)
print(f'最大碰撞力:{max_force}')
#绘制碰撞力随时间变化的图表
plt.figure(figsize=(10,5))
plt.plot(times,forces,label='碰撞力')
plt.xlabel('时间(s)')
plt.ylabel('碰撞力(N)')
plt.title('碰撞力随时间变化')
plt.legend()
plt.grid(True)
plt.show()通过上述步骤,我们可以有效地进行碰撞仿真的后处理与结果分析,不仅能够直观地查看模型的变形和应力分布,还能够通过数据分析技巧深入理解碰撞过程中的力学行为,为结构设计和优化提供宝贵的指导。4高级功能4.1显式与隐式求解器结合在LS-DYNA中,显式与隐式求解器的结合使用是一种高级技术,用于解决那些包含大变形、高速碰撞和复杂材料行为的工程问题。显式求解器擅长处理瞬态动力学问题,而隐式求解器则在解决静力学和低频动力学问题上更为有效。结合这两种求解器,可以实现更广泛的物理现象仿真,特别是在多尺度或多物理场问题中。4.1.1显式求解器显式求解器采用显式时间积分方法,可以快速模拟材料的瞬时响应,特别适用于高速碰撞和爆炸等事件。它不需要求解大型线性方程组,因此在处理大变形和非线性材料行为时更为高效。4.1.2隐式求解器隐式求解器使用隐式时间积分方法,能够处理静力学和低频动力学问题,如结构的静态加载和热应力分析。它通过求解线性方程组来预测结构的响应,适用于需要高精度和稳定性的仿真场景。4.1.3结合策略LS-DYNA允许用户在仿真过程中动态地切换求解器类型,以适应不同阶段的物理现象。例如,在碰撞初期使用显式求解器捕捉高速动态响应,然后切换到隐式求解器进行后续的静态或低频动力学分析。4.2多物理场耦合仿真多物理场耦合仿真在LS-DYNA中是一个强大的功能,它能够同时模拟多种物理现象,如结构动力学、流体动力学、热传导和电磁场等。这种技术对于理解复杂系统的行为至关重要,特别是在航空航天、汽车和能源行业。4.2.1耦合类型LS-DYNA支持多种耦合类型,包括:流固耦合:模拟流体与固体结构之间的相互作用。热-结构耦合:分析热应力对结构的影响。电磁-结构耦合:研究电磁场对结构动力学的影响。4.2.2耦合仿真示例假设我们正在分析一个火箭发动机在点火过程中的行为,这涉及到流体动力学(燃烧室内的气体流动)、结构动力学(发动机壁的振动)和热传导(高温对结构的影响)。#LS-DYNA输入文件示例
*CONTROL_TERMINATION_TIME
1.0e-3
*CONTROL_TIMESTEP
0.0
*CONTROL_DT
1.0e-6
*CONTROL_OUTPUT
100
*CONTROL_OUTPUT_TIMESTEP
1.0e-5
*CONTROL_OUTPUT_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_FORMAT
ASCII
*CONTROL_OUTPUT_FILENAME
output.dat
*CONTROL_OUTPUT_INTERVAL
10
*CONTROL_OUTPUT_TYPE
NODAL
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIME_INCREMENT
1.0e-5
*CONTROL_OUTPUT_TIME_FORMAT
ASCII
*CONTROL_OUTPUT_TIME_FILENAME
time_output.dat
*CONTROL_OUTPUT_TIME_INTERVAL
10
*CONTROL_OUTPUT_TIME_TYPE
NODAL
*CONTROL_OUTPUT_TIME_VARIABLE
STRESS,STRAIN,VELOCITY,ACCELERATION
*CONTROL_OUTPUT_TIME
0.0,1.0e-3
*CONTROL_OUTPUT_TIM
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 上海金融应急预案(3篇)
- 施工方案安全预案(3篇)
- drct防护施工方案(3篇)
- 住宅验收施工方案(3篇)
- 2026年阿克苏职业技术学院单招职业适应性测试题库带答案详解(培优b卷)
- 高校就业帮扶研究报告
- 2026年青海建筑职业技术学院单招职业适应性考试题库含答案详解ab卷
- 2026年黑龙江三江美术职业学院单招职业适应性考试题库附答案详解(夺分金卷)
- 2026年黄冈职业技术学院单招职业适应性测试题库附参考答案详解(综合卷)
- 2026年阜阳职业技术学院单招职业倾向性考试题库附答案详解(综合卷)
- 部编版小学语文六年级下册必读书阅读训练试题及答案(全册)
- 《机电设备维修与维护(第2版)》高职全套教学课件
- 定额〔2025〕1号文-关于发布2018版电力建设工程概预算定额2024年度价格水平调整的通知
- 《光的本质之争》课件
- 初中数学新课程标准(2024年版)
- 《任务型教学法在初中历史教学中的应用研究》
- 学校食堂员工培训
- 中药灌肠疗法课件
- 西门子S7-1500 PLC技术及应用 课件 第5章 S7-1500 PLC 的通信及其应用
- 2024年员工借调合同书
- 市政绿化养护及市政设施养护服务方案(技术方案)
评论
0/150
提交评论