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Chapter 13 Boundary-Value Problems in Rectangular Coordinates.

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Presentation on theme: "Chapter 13 Boundary-Value Problems in Rectangular Coordinates."— Presentation transcript:

1 Chapter 13 Boundary-Value Problems in Rectangular Coordinates

2 Figure 13.F0201: One-dimensional flow of heat Courtesy of Dennis Zill

3 Figure 13.F0202: Taut string anchored at two points on the x-axis. (a) Segment of string; (b) Englargement of segment Courtesy of Dennis Zill

4 Figure 13.F0203: Steady-state temperatures in a rectangular plate Courtesy of Dennis Zill

5 Figure 13.F0204: Plucked string Courtesy of Dennis Zill

6 Figure 13.F0301: Find the temperature u in a finite rod Courtesy of Dennis Zill

7 Figure 13.F0302ab: - Courtesy of Dennis Zill

8 Figure 13.F0303: Rod in Problem 5 Courtesy of Dennis Zill

9 Figure 13.F0401abcdef: - Courtesy of Dennis Zill

10 Figure 13.F0402: First three standing waves. (a) First standing wave; (b) Second standing wave; (c) Third standing wave Courtesy of Dennis Zill

11 Figure 13.F0403: Initial displacement for Problem 7 Courtesy of Dennis Zill

12 Figure 13.F0404: Initial displacement for Problem 8 Courtesy of Dennis Zill

13 Figure 13.F0405: Initial displacement for Problem 9 Courtesy of Dennis Zill

14 Figure 13.F0406: Initial displacement for Problem 10 Courtesy of Dennis Zill

15 Figure 13.F0407: Elastic bar in Problem 11 Courtesy of Dennis Zill

16 Figure 13.F0408: String whose ends are attached to frictionless sleeves in Problem 12 Courtesy of Dennis Zill

17 Figure 13.F0409: Simply supported beam in Problem 23 Courtesy of Dennis Zill

18 Figure 13.F0501: Find the temperature u in a rectangular plate Courtesy of Dennis Zill

19 Figure 13.F0502: - Courtesy of Dennis Zill

20 Figure 13.F0503: - Courtesy of Dennis Zill

21 Figure 13.F0504: Semi-infinite Plate in Problem 11 Courtesy of Dennis Zill

22 Figure 13.F0505: Semi-infinite Plate in Problem 12 Courtesy of Dennis Zill

23 Figure 13.F0601: Semi-infinite Plate in Problem 11 Courtesy of Dennis Zill

24 Figure 13.F0701: - Courtesy of Dennis Zill

25 Figure 13.F0702: Cantilever beam in Problem 10 Courtesy of Dennis Zill

26 Figure 13.F0801ab: (a) Find the temperature u in a rectangular plate and (b) Find the vertical displacement u of a rectangular membrane Courtesy of Dennis Zill

27 Figure 13.F0802: Rectangular parallelepiped in Problems 5-7 Courtesy of Dennis Zill

28 Figure 13.FR01: Initial velocity in Problem 5 Courtesy of Dennis Zill

29 Figure 13.FR02: Square plate in Problem 7 Courtesy of Dennis Zill

30 Figure 13.FR03: Semi-infinite plate in Problem 8 Courtesy of Dennis Zill

31 Figure 13.FR04: Infinite plate in Problem 10 Courtesy of Dennis Zill


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