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弹性力学仿真软件:MSC Nastran:瞬态动力学分析技术教
程
1 弹性力学仿真软件:MSC Nastran:瞬态动力学分析
1.1 MSC_Nastran 软件概述
MSC Nastran 是一款世界领先的多学科仿真软件,由 MSC Software 开发。
它被广泛应用于航空航天、汽车、电子、能源等多个行业,用于解决复杂的工
程问题,包括结构分析、动力学分析、热分析、流体动力学分析等。在瞬态动
力学分析领域,MSC Nastran 提供了强大的求解器和丰富的单元库,能够模拟结
构在时间域内的动态响应,如冲击、碰撞、振动等。
1.1.1 特点
� 多物理场耦合:能够进行结构动力学、流体动力学、热力学等多
物理场的耦合分析。
� 高级求解技术:包括直接求解、迭代求解、频域求解和时域求解
等多种求解方法。
� 丰富的单元库:提供多种单元类型,如梁单元、壳单元、实体单
元等,适用于不同类型的结构分析。
� 强大的后处理能力:能够生成详细的分析报告和可视化结果,帮
助工程师理解结构的动态行为。
1.2 瞬态动力学分析的基本概念
瞬态动力学分析是研究结构在时间域内对瞬时载荷的响应。这种分析通常
用于模拟冲击、碰撞、爆炸等事件,以及周期性或非周期性的振动。在瞬态动
力学分析中,结构的动态响应(如位移、速度、加速度和应力)随时间变化,
因此需要考虑惯性和阻尼效应。
1.2.1 原理
瞬态动力学分析基于牛顿第二定律,即力等于质量乘以加速度。在瞬态分
析中,结构的运动方程可以表示为:
M
u
+
C
u
+
K
u
=
F
(
t
)
其中: -
M
是质量矩阵。 -
C
是阻尼矩阵。 -
K
是刚度矩阵。 -
u
是位移向量。
-
F
(
t
)
是随时间变化的外力向量。
1.2.2 内容
瞬态动力学分析的内容包括但不限于: - 模型建立:定义结构的几何、材
2
料属性、边界条件和载荷。 - 时间步设置:根据问题的特性选择合适的时间步
长,以确保分析的准确性和效率。 - 求解设置:选择求解方法(如直接求解或
迭代求解),并设置求解参数。 - 结果分析:评估结构的动态响应,如位移、速
度、加速度和应力等。
1.2.3 示例
假设我们有一个简单的梁结构,需要进行瞬态动力学分析,以评估其在冲
击载荷下的响应。以下是一个使用 MSC Nastran 进行瞬态动力学分析的示例:
1.2.3.1 模型定义
在 MSC Nastran 中,我们首先定义梁的几何和材料属性。这里我们使用一
个简单的梁单元(CBEAM)和线性弹性材料模型。
BEGIN BULK
$ Define the material properties
MAT1,1,30000.,0.3,0.283
$ Define the beam section properties
SECTID,1,1,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01
$ Define the beam element
CBEAM,1,1,2,1,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.
,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.
,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.
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3
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# 弹性力学仿真软件:MSC Nastran:瞬态动力学分析 - 前处理
## 建立模型
在进行瞬态动力学分析之前,首先需要在 MSC Nastran 中建立模型。这包括定义几何形
状、选择合适的单元类型以及确定模型的复杂度。例如,如果我们要分析一个简单的梁结
构在冲击载荷下的响应,可以使用以下步骤:
1. **导入几何数据**:通过导入 CAD 模型或使用 Nastran 的内置几何创建工具来定义模型
的几何形状。
2. **选择单元类型**:对于梁结构,可以选择`CBEAM`单元,这是一种适用于一维结构的
梁单元。
3. **定义模型复杂度**:确定是否需要考虑模型的细节,如孔洞、突起等,以及模型的尺
寸和形状。
## 定义材料属性
材料属性的定义对于准确的瞬态动力学分析至关重要。在 Nastran 中,可以通过`MAT1`卡
片来定义各向同性材料的属性,包括弹性模量、泊松比和密度。例如,对于钢材料,可以
设置如下属性:
```nastran
MAT1, 1, 30000000, 0.3, 7850
4
� MAT1:材料定义卡片类型。
� 1:材料 ID,用于后续引用。
� 30000000:弹性模量(单位:psi),对于钢大约为 30e6 psi。
� 0.3:泊松比,钢的泊松比通常为 0.3。
� 7850:密度(单位:lb/in^3),钢的密度约为 0.284 lb/in^3,此处
以 7850 lb/in^3 为例,单位需要转换。
1.3 网格划分
网格划分是将连续体模型离散化为有限元模型的过程。在 Nastran 中,网
格划分的精细程度直接影响分析的准确性和计算时间。对于瞬态动力学分析,
通常需要更细的网格以捕捉高速动态响应。例如,使用 CTRIA3 或 CTRIA6 三角
形单元进行网格划分:
GRID, 1, 0, 0, 0
GRID, 2, 1, 0, 0
GRID, 3, 1, 1, 0
GRID, 4, 0, 1, 0
CTRIA3, 1, 1, 2, 3
CTRIA3, 2, 3, 4, 1
� GRID:定义网格节点,每个节点有唯一的 ID 和坐标。
� CTRIA3:定义三角形单元,每个单元由三个节点组成。
1.4 施加边界条件和载荷
边界条件和载荷的正确施加是确保分析结果准确的关键。在瞬态动力学分
析中,边界条件可以是固定约束、滑动约束或旋转约束,而载荷可以是力、压
力或加速度。例如,固定一个节点并施加一个冲击载荷:
SPC, 1, 1, 2, 3
FORCE, 1, 1, 0, 0, 0, 10000
GRID, 1, 0, 0, 0 <!-- 被固定的节点 -->
� SPC:施加边界条件,此处为固定约束,限制所有三个方向的位移。
� FORCE:施加载荷,此处为在节点 1 上施加 10000 lb 的力。
1.4.1 代码示例
假设我们有一个简单的梁结构,长度为 10 英寸,宽度和高度均为 1 英寸,
材料为钢,我们想要分析在梁的一端施加一个 10000 lb 的冲击载荷时,梁的瞬
态响应。
$ 定义材料属性
MAT1, 1, 30000000, 0.3, 7850
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