微积分网课代修|偏微分方程代写Partial Differential Equation代考|MATH4310 Select Graphical Objects Representing Your Geometry

微积分网课代修|偏微分方程代写Partial Differential Equation代考|MATH4310 Select Graphical Objects Representing Your Geometry

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微积分网课代修|偏微分方程代写Partial Differential Equation代考|MATH4310 Select Graphical Objects Representing Your Geometry

微积分网课代修|偏微分方程代写Partial Differential Equation代考|Select Graphical Objects Representing Your Geometry

Throughout the PDE app, similar principles apply for selecting objects such as solid objects, subdomains, and boundaries.

  • To select a single object, click it using the left mouse button.
  • To select several objects and to deselect objects, Shift+click (or click using the middle mouse button) on the desired objects.
  • Clicking in the intersection of several objects selects all the intersecting objects.
  • To open an associated dialog box, double-click an object. If the object is not selected, it is selected before opening the dialog box.
  • In draw mode and PDE mode, clicking outside of objects deselects all objects.
  • To select all objects, use the Select All option from the Edit menu.
  • When defining boundary conditions and the PDE via the menu items from the Boundary and PDE menus, and no boundaries or subdomains are selected, the entered values applies to all boundaries and subdomains by default.

微积分网课代修|偏微分方程代写Partial Differential Equation代考|Rounded Corners Using CSG Modeling

This example shows how to represent a geometry that includes rounded corners (fillets) using Constructive Solid Geometry (CSG) modeling. You learn how to draw several overlapping solid objects, and specify how these objects should combine to produce the desired geometry.

Start the PDE app using pdetool and turn on the grid and the “snap-to-grid” feature using the Options menu. Also, change the grid spacing to $-1.5: 0.1: 1.5$ for the $x$-axis and $-1: 0.1: 1$ for the $y$-axis.

Select Rectangle/square from the Draw menu or click the button with the rectangle icon. Then draw a rectangle with a width of 2 and a height of 1 using the mouse, starting at $(-1,0.5)$. To get the round corners, add circles, one in each corner. The circles should have a radius of $0.2$ and centers at a distance that is $0.2$ units from the left/right and lower/upper rectangle boundaries $((-0.8,-0.3),(-0.8,0.3),(0.8,-0.3)$, and $(0.8,0.3))$. To draw several circles, double-click the button for drawing ellipses/circles (centered). Then draw the circles using the right mouse button or Ctrl+click starting at the circle centers. Finally, at each of the rectangle corners, draw four small squares with a side of $0.2$.
The following figure shows the complete drawing.

微积分网课代修|偏微分方程代写Partial Differential Equation代考|MATH4310 Select Graphical Objects Representing Your Geometry

微积分网课代修|偏微分方程代写Partial Differential Equation代考|Select Graphical Objects Representing Your Geometry

在整个 PDE 应用程序中,类似的原则适用于选择实体对象、子域和边界等对象。

  • 要选择单个对象,请使用鼠标左键单击它。
  • 要选择多个对象并取消选择对象,请按住 Shift 并单击(或使用鼠标中键单击)所需的对象。
  • 单击几个对象的交集会选择所有相交的对象。
  • 要打开相关对话框,请双击对象。如果对象未被选中,则在打开对话框之前将其选中。
  • 在绘图模式和 PDE 模式下,单击对象外部会取消选择所有对象。
  • 要选择所有对象,请使用“编辑”菜单中的“全选”选项。
  • 通过 Boundary 和 PDE 菜单中的菜单项定义边界条件和 PDE 时,如果没有选择边界或子域,则输入的值默认适用于所有边界和子域。

微积分网课代修|偏微分方程代写Partial Differential Equation代考|Rounded Corners Using CSG Modeling

此示例说明如何使用构造实体几何 (CSG) 建模来表示包含圆角(圆角)的几何。您将学习如何绘制多个重叠的实体对象,并指定这些对象应如何组合以生成所需的几何图形。

使用 pdetool 启动 PDE 应用程序,然后使用“选项”菜单打开网格和“对齐网格”功能。此外,将网格间距更改为−1.5:0.1:1.5为了X-轴和−1:0.1:1为了是的-轴。

从绘图菜单中选择矩形/正方形或单击带有矩形图标的按钮。然后用鼠标画一个宽为2,高为1的矩形,从(−1,0.5). 要获得圆角,请添加圆圈,每个角一个。圆的半径应为0.2并以距离为中心0.2左/右和下/上矩形边界的单位((−0.8,−0.3),(−0.8,0.3),(0.8,−0.3), 和(0.8,0.3)). 要绘制多个圆,请双击用于绘制椭圆/圆(居中)的按钮。然后使用鼠标右键或 Ctrl+单击从圆心开始绘制圆。最后,在每个矩形角上,画出四个边为0.2.
下图显示了完整的图纸。

微积分网课代修|偏微分方程代写Partial Differential Equation代考|MATH4310 Select Graphical Objects Representing Your Geometry
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