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Structural Dynamics: Undamped Harmonic Excitation - Governing Equation and It's Solution

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Structural Dynamics: Undamped Harmonic Excitation - Governing Equation and Its Solution

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Strength of Materials
Structural Dynamics
Plates & Shells

Double Integration Method: Useful Equations

Useful Equations Deflection = y Slope θ = dy/dx = y' Moment M = EI * y'' Shear Force F = - dM/dx = - EI * y''' Load Intensity q = dF/dx = - EI * y''''

GO : Inversing a Matrix

package main import "fmt" func main() { a := [][]float64{{1, 2, 3}, {0, 1, 4}, {5, 6, 0}} fmt.Println(a) ainv := invMatrix(a) fmt.Println(ainv) } func matRowScalarDiv(a [][]float64, I [][]float64, rowNumber int, divisor float64) [][]float64 { null := [][]float64{} if divisor != 0 { for i := 0; i < len(a); i++ { if i == rowNumber { for j := 0; j < len(a[rowNumber]); j++ { a[i][j] = a[i][j] / divisor I[i][j] = I[i][j] / divisor } } } return a } else { return null } } func neutralMatrixRow(a [][]float64, I [][]float64, neutralizingRow int) [][]float64 { for i := 0; i < len(a); i++ { if i != neutralizingRow { if a[neutralizingRow][neutralizingRow] != 0 || I[neutralizingRow][neutralizingRow] != 0 { neutralStar := a[i][neutralizingRow] / a[neutralizingRow][neutralizingRow] for j := 0; j < len(a[i]); j++ { a[i][j] = a[i][j] - a[neutralizingRow][j]*neutralStar I[i][j] = I[i][j] - I[ne...

GO : Partitioning any matrix

// You can edit this code! // Click here and start typing. package main import "fmt" func main() { a := [][]float64{{1, 3, 5, -6}, {5, 2, 9, -4}, {10, 5, 6.2, 1}, {0.005, 2, 6.8, -4}} fmt.Println(a) fmt.Println(partMat(a, 2, 3, 1, 4)) } func partMat(a [][]float64, rowStart int, rowEnd int, colStart int, colEnd int) [][]float64 { c := [][]float64{} for i := rowStart - 1; i <= rowEnd-1; i++ { k := []float64{} for j := colStart - 1; j <= colEnd-1; j++ { k = append(k, a[i][j]) } c = append(c, k) } return c }

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