https://github.com/konstantin8105/hd

FEM(finite element method) for structural engineer
https://github.com/konstantin8105/hd

fem finite-element-methods go golang structural-engineering

Last synced: about 1 month ago
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FEM(finite element method) for structural engineer

• Host: GitHub
• URL: https://github.com/konstantin8105/hd
• Owner: Konstantin8105
• License: mit
• Created: 2018-07-07T20:51:02.000Z (over 6 years ago)
• Default Branch: master
• Last Pushed: 2023-08-20T16:04:59.000Z (over 1 year ago)
• Last Synced: 2024-06-19T23:14:19.696Z (7 months ago)
• Topics: fem, finite-element-methods, go, golang, structural-engineering
• Language: Go
• Size: 1.67 MB
• Stars: 5
• Watchers: 5
• Forks: 0
• Open Issues: 6
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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# hd

FEM(finite element method) for structural engineer

```

Specific of truss:

* Generally truss finite element and beam finite element with moment free on node is not the same.

for truss stiffiner matrix look like that

⎡ * 0 0 * 0 0 ⎤

⎢ 0 0 0 0 0 0 ⎥

⎢ 0 0 0 0 0 0 ⎥

⎢ * 0 0 * 0 0 ⎥

⎢ 0 0 0 0 0 0 ⎥

⎣ 0 0 0 0 0 0 ⎦

for beam with moment free on nodes stiffiner matrix look like that

⎡ * 0 0 * 0 0 ⎤

⎢ 0 * 0 0 * 0 ⎥

⎢ 0 0 0 0 0 0 ⎥

⎢ * 0 0 * 0 0 ⎥

⎢ 0 * 0 0 * 0 ⎥

⎣ 0 0 0 0 0 0 ⎦

So, if we have 2 free moment, then also add free by Y direction for bith beam points

```

#### Coverage

```

go test -coverprofile=coverage.out ./...

go tool cover -html=coverage.out

```

or on one line:

```

go test -coverprofile=coverage.out ./... ; go tool cover -html=coverage.out ; rm coverage.out

```

### Benchmark

In folder `mod` run:

```cmd

go test -v -run=Benchmark -bench=Benchmark -benchmem -cpuprofile cpu.prof -memprofile mem.prof

```

```

goos: linux

goarch: amd64

pkg: github.com/Konstantin8105/hd/mod

BenchmarkRun/____1-cases20-4         	    5184	    202061 ns/op	   95197 B/op	    1052 allocs/op

BenchmarkRun/____2-cases20-4         	    3676	    275535 ns/op	  134711 B/op	    1288 allocs/op

BenchmarkRun/____4-cases20-4         	    2658	    446752 ns/op	  226851 B/op	    1778 allocs/op

BenchmarkRun/____8-cases20-4         	    1460	    807288 ns/op	  440599 B/op	    2738 allocs/op

BenchmarkRun/___16-cases20-4         	     687	   1736805 ns/op	  928967 B/op	    4640 allocs/op

BenchmarkRun/___32-cases20-4         	     230	   5137632 ns/op	 2239788 B/op	    8456 allocs/op

BenchmarkRun/___64-cases20-4         	      57	  18934656 ns/op	 6173719 B/op	   16063 allocs/op

BenchmarkRun/__128-cases20-4         	      10	 105636607 ns/op	18726030 B/op	   31323 allocs/op

PASS

ok  	github.com/Konstantin8105/hd/mod	11.064s

```