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structure_analysis_kernel.bas
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565 lines (521 loc) · 21.3 KB
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Attribute VB_Name = "Módulo1"
Sub calculo_rigidez_por_barra()
Dim sh As Worksheet
Set sh = ThisWorkbook.Sheets("datos")
Set sh2 = ThisWorkbook.Sheets("rigidez_global_barra")
'cuenta el numero de barras
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim b As Long
b = sh.Range("A1", sh.Range("A1").End(xlDown)).Rows.Count
b = b - 1
'crea las matrices de rigidez en local por barra
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim RL() As Double
Dim TempRG() As Variant
Dim CC() As Double
Dim Dat() As Double
Dim Swap(1 To 6, 1 To 6) As Double
Dim CCSwap(1 To 6, 1 To 6) As Double
ReDim Dat(5, b)
ReDim CC(6, 6, b)
ReDim RL(6, 6, b)
'recoge los datos de las barras
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For i = 1 To 5
For j = 1 To b
Dat(i, j) = sh.Cells(j + 1, i + 3)
Next j
Next i
'rellena las matrices KC
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For k = 1 To b
For j = 1 To 6
For i = 1 To 6
Select Case True
Case (i = 1 And j = 1)
RL(i, j, k) = (Dat(1, k) * Dat(3, k)) / Dat(2, k)
Case (i = 2 And j = 1)
RL(i, j, k) = 0
Case (i = 3 And j = 1)
RL(i, j, k) = 0
Case (i = 4 And j = 1)
RL(i, j, k) = -(Dat(1, k) * Dat(3, k)) / Dat(2, k)
Case (i = 5 And j = 1)
RL(i, j, k) = 0
Case (i = 6 And j = 1)
RL(i, j, k) = 0
Case (i = 1 And j = 2)
RL(i, j, k) = 0
Case (i = 2 And j = 2)
RL(i, j, k) = (12 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 3)
Case (i = 3 And j = 2)
RL(i, j, k) = (6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 4 And j = 2)
RL(i, j, k) = 0
Case (i = 5 And j = 2)
RL(i, j, k) = (-12 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 3)
Case (i = 6 And j = 2)
RL(i, j, k) = (6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 1 And j = 3)
RL(i, j, k) = 0
Case (i = 2 And j = 3)
RL(i, j, k) = (6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 3 And j = 3)
RL(i, j, k) = (4 * Dat(3, k) * Dat(4, k)) / (Dat(2, k))
Case (i = 4 And j = 3)
RL(i, j, k) = 0
Case (i = 5 And j = 3)
RL(i, j, k) = (-6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 6 And j = 3)
RL(i, j, k) = (2 * Dat(3, k) * Dat(4, k)) / (Dat(2, k))
Case (i = 1 And j = 4)
RL(i, j, k) = -(Dat(1, k) * Dat(3, k)) / Dat(2, k)
Case (i = 2 And j = 4)
RL(i, j, k) = 0
Case (i = 3 And j = 4)
RL(i, j, k) = 0
Case (i = 4 And j = 4)
RL(i, j, k) = (Dat(1, k) * Dat(3, k)) / Dat(2, k)
Case (i = 5 And j = 4)
RL(i, j, k) = 0
Case (i = 6 And j = 4)
RL(i, j, k) = 0
Case (i = 1 And j = 5)
RL(i, j, k) = 0
Case (i = 2 And j = 5)
RL(i, j, k) = (-12 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 3)
Case (i = 3 And j = 5)
RL(i, j, k) = (-6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 4 And j = 5)
RL(i, j, k) = 0
Case (i = 5 And j = 5)
RL(i, j, k) = (12 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 3)
Case (i = 6 And j = 5)
RL(i, j, k) = (-6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 1 And j = 6)
RL(i, j, k) = 0
Case (i = 2 And j = 6)
RL(i, j, k) = (6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 3 And j = 6)
RL(i, j, k) = (2 * Dat(3, k) * Dat(4, k)) / (Dat(2, k))
Case (i = 4 And j = 6)
RL(i, j, k) = 0
Case (i = 5 And j = 6)
RL(i, j, k) = (-6 * Dat(3, k) * Dat(4, k)) / (Dat(2, k) ^ 2)
Case (i = 6 And j = 6)
RL(i, j, k) = (4 * Dat(3, k) * Dat(4, k)) / (Dat(2, k))
End Select
Next i
Next j
Next k
'montar matrices cambio coord
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For k = 1 To b
For j = 1 To 6
For i = 1 To 6
Select Case True
Case (i = 1 And j = 1)
CC(i, j, k) = Round(Cos(Dat(5, k)), 10)
Case (i = 2 And j = 1)
CC(i, j, k) = Round(Sin(Dat(5, k)), 10)
Case (i = 1 And j = 2)
CC(i, j, k) = Round(-Sin(Dat(5, k)), 10)
Case (i = 2 And j = 2)
CC(i, j, k) = Round(Cos(Dat(5, k)), 10)
Case (i = 3 And j = 3)
CC(i, j, k) = 1
Case (i = 4 And j = 4)
CC(i, j, k) = Round(Cos(Dat(5, k)), 10)
Case (i = 5 And j = 4)
CC(i, j, k) = Round(Sin(Dat(5, k)), 10)
Case (i = 4 And j = 5)
CC(i, j, k) = Round(-Sin(Dat(5, k)), 10)
Case (i = 5 And j = 5)
CC(i, j, k) = Round(Cos(Dat(5, k)), 10)
Case (i = 6 And j = 6)
CC(i, j, k) = 1
End Select
Next i
Next j
Next k
'montar matrices swap y multiplicar
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For k = 1 To b
For j = 1 To 6
For i = 1 To 6
Swap(i, j) = RL(i, j, k)
CCSwap(i, j) = CC(i, j, k)
Next i
Next j
TempRG = WorksheetFunction.MMult(WorksheetFunction.MMult(CCSwap(), Swap()), WorksheetFunction.Transpose(CCSwap()))
sh2.Cells(1 + (k - 1) * 8, 1) = "MATRIZ RIGIDEZ LOCAL BARRA " & k
sh2.Cells(1 + (k - 1) * 8, 8) = "MATRIZ CAMBIO COORDENADAS BARRA " & k
sh2.Cells(1 + (k - 1) * 8, 15) = "MATRIZ RIGIDEZ GLOBAL BARRA " & k
For i = 1 To 6
For j = 1 To 6
sh2.Cells(1 + i + (8 * (k - 1)), j) = Swap(i, j)
sh2.Cells(1 + i + (8 * (k - 1)), j).Interior.ColorIndex = 8
sh2.Cells(1 + i + (8 * (k - 1)), j + 7) = CCSwap(i, j)
sh2.Cells(1 + i + (8 * (k - 1)), j + 7).Interior.ColorIndex = 15
sh2.Cells(1 + i + (8 * (k - 1)), j + 14) = TempRG(i, j)
sh2.Cells(1 + i + (8 * (k - 1)), j + 14).Interior.ColorIndex = 17
Next j
Next i
Next k
End Sub
Sub ensamblar_KE()
Dim sh As Worksheet
Set sh = ThisWorkbook.Sheets("datos")
Set sh2 = ThisWorkbook.Sheets("rigidez_global_barra")
Set sh3 = ThisWorkbook.Sheets("ensamblado_matrices_completo")
'cuenta el numero de barras y nudos
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim b As Long
Dim n As Long
b = sh.Range("A1", sh.Range("A1").End(xlDown)).Rows.Count
b = b - 1
n = sh.Range("L1", sh.Range("L1").End(xlDown)).Rows.Count
n = n - 1
' Dim Reactions() As Integer
' Dim n1 As Integer
' Dim n2 As Integer
' Dim gdl As Integer
' ReDim Reactions(n)
' n1 = 0
' n2 = 0
'calcula los gdl del sistema a resolver (esto sera para el paso siguiente)!!!!!
' For i = 1 To n
' Reactions(i) = 0
' Reactions(i) = sh.Cells(i + 1, 13)
' If Reactions(i) = "1" Then
' n1 = n1 + 1
' End If
'
' If Reactions(i) = "2" Then
' n2 = n2 + 1
' End If
' Next i
' gdl = 3 * n - 3 * n1 - 2 * n2
Dim KG As Variant
Dim KT As Variant
ReDim KG(6, 6, b)
ReDim KT(3 * n, 3 * n)
For k = 1 To b
For i = 1 To 6
For j = 1 To 6
KG(i, j, k) = sh2.Cells(1 + i + (8 * (k - 1)), j + 14)
Next j
Next i
Next k
Dim nudoi As Integer
Dim nudoj As Integer
For i = 1 To 3 * n
For j = 1 To 3 * n
KT(i, j) = 0
Next j
Next i
For k = 1 To b
nudoi = sh.Cells(k + 1, 2)
nudof = sh.Cells(k + 1, 3)
For i = 1 To 3
For j = 1 To 3
KT((nudoi * 3 - 3 + i), (nudoi * 3 - 3 + j)) = KT((nudoi * 3 - 3 + i), (nudoi * 3 - 3 + j)) + KG(i, j, k)
KT((nudof * 3 - 3 + i), (nudof * 3 - 3 + j)) = KT((nudof * 3 - 3 + i), (nudof * 3 - 3 + j)) + KG(i + 3, j + 3, k)
KT((nudoi * 3 - 3 + i), (nudof * 3 - 3 + j)) = KT((nudoi * 3 - 3 + i), (nudof * 3 - 3 + j)) + KG(i, j + 3, k)
KT((nudof * 3 - 3 + i), (nudoi * 3 - 3 + j)) = KT((nudof * 3 - 3 + i), (nudoi * 3 - 3 + j)) + KG(i + 3, j, k)
Next j
Next i
Next k
'mostramos la matriz en la hoja
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For i = 1 To 3 * n
For j = 1 To 3 * n
sh3.Cells(i, j) = KT(i, j)
sh3.Cells(i, j).Interior.ColorIndex = 15
Next j
Next i
End Sub
Sub reducir_y_resolver()
Dim sh As Worksheet
Set sh = ThisWorkbook.Sheets("datos")
Set sh2 = ThisWorkbook.Sheets("rigidez_global_barra")
Set sh3 = ThisWorkbook.Sheets("ensamblado_matrices_completo")
Set sh4 = ThisWorkbook.Sheets("ke_reducida_solucion")
Set sh5 = ThisWorkbook.Sheets("esfuerzos_barras_diagramas")
'cuenta el numero de barras y nudos
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim b As Long
Dim n As Long
b = sh.Range("A1", sh.Range("A1").End(xlDown)).Rows.Count
b = b - 1
n = sh.Range("L1", sh.Range("L1").End(xlDown)).Rows.Count
n = n - 1
Dim Reactions() As Integer
Dim Emp() As Variant
Dim n1 As Integer
Dim n2 As Integer
Dim gdl As Integer
ReDim Reactions(3 * n)
ReDim Emp(3 * n)
Dim Calc() As Variant
Dim FNudos() As Variant
ReDim FNudos(3 * n)
ReDim Calc(3 * n)
n1 = 0
n2 = 0
'calcula los gdl del sistema a resolver, monta vector Fnudos y F empotramiento perfecto
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For i = 1 To n
Calc(3 * i - 2) = "despX " & i
Calc(3 * i - 1) = "despY " & i
Calc(3 * i) = "giro " & i
FNudos(3 * i - 2) = sh.Cells(i + 1, 16)
FNudos(3 * i - 1) = sh.Cells(i + 1, 17)
FNudos(3 * i) = sh.Cells(i + 1, 18)
Emp(3 * i - 2) = sh.Cells(i + 1, 19)
Emp(3 * i - 1) = sh.Cells(i + 1, 20)
Emp(3 * i) = sh.Cells(i + 1, 21)
Next i
gdl = 3 * n
For i = 1 To n
If sh.Cells(i + 1, 13) = 1 Then
Calc(3 * i - 2) = 0
FNudos(3 * i - 2) = "Rx " & i
gdl = gdl - 1
End If
If sh.Cells(i + 1, 14) = 1 Then
Calc(3 * i - 1) = 0
FNudos(3 * i - 1) = "Ry " & i
gdl = gdl - 1
End If
If sh.Cells(i + 1, 15) = 1 Then
Calc(3 * i) = 0
FNudos(3 * i) = "M " & i
gdl = gdl - 1
End If
Next i
' For i = 1 To n
' Reactions(i) = 0
' Reactions(i) = sh.Cells(i + 1, 13)
' If Reactions(i) = "0" Then
' Calc(3 * i - 2) = "despX " & i
' Calc(3 * i - 1) = "despY " & i
' Calc(3 * i) = "giro " & i
' FNudos(3 * i - 2) = sh.Cells(i + 1, 14)
' FNudos(3 * i - 1) = sh.Cells(i + 1, 15)
' FNudos(3 * i) = sh.Cells(i + 1, 16)
' Emp(3 * i - 2) = sh.Cells(i + 1, 17)
' Emp(3 * i - 1) = sh.Cells(i + 1, 18)
' Emp(3 * i) = sh.Cells(i + 1, 19)
' End If
'
' If Reactions(i) = "1" Then
' n1 = n1 + 1
' Calc(3 * i - 2) = 0
' Calc(3 * i - 1) = 0
' Calc(3 * i) = 0
' FNudos(3 * i - 2) = "Rx " & i
' FNudos(3 * i - 1) = "Ry " & i
' FNudos(3 * i) = "M " & i
' Emp(3 * i - 2) = sh.Cells(i + 1, 17)
' Emp(3 * i - 1) = sh.Cells(i + 1, 18)
' Emp(3 * i) = sh.Cells(i + 1, 19)
' End If
'
' If Reactions(i) = "2" Then
' n2 = n2 + 1
' Calc(3 * i - 2) = 0
' Calc(3 * i - 1) = 0
' Calc(3 * i) = "giro " & i
' FNudos(3 * i - 2) = "Rx " & i
' FNudos(3 * i - 1) = "Ry " & i
' FNudos(3 * i) = 0
' Emp(3 * i - 2) = sh.Cells(i + 1, 17)
' Emp(3 * i - 1) = sh.Cells(i + 1, 18)
' 'Emp(3 * i) = 0
' Emp(3 * i) = sh.Cells(i + 1, 19)
' End If
' Next i
For i = 1 To 3 * n
sh3.Cells(i, 3 * n + 2) = FNudos(i)
sh3.Cells(i, 3 * n + 2).Interior.ColorIndex = 20
sh3.Cells(i, 3 * n + 4) = Calc(i)
sh3.Cells(i, 3 * n + 4).Interior.ColorIndex = 17
If IsNumeric(sh3.Cells(i, 3 * n + 2)) Then
sh3.Cells(i, 3 * n + 2) = sh3.Cells(i, 3 * n + 2) - Emp(i)
End If
'copia a una nueva hoja, reduce el sistema y lo resuelve
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Next i
sh3.Cells.Copy Destination:=sh4.Cells(1, 1)
For i = 1 To 3 * n
If Calc(3 * n + 1 - i) = 0 Then
sh4.Rows(3 * n + 1 - i).Delete
sh4.Columns(3 * n + 1 - i).Delete
End If
Next i
Dim Solution() As Variant
Dim MInversa() As Variant
Dim KE_Red() As Double
Dim V_Fuerzas() As Double
ReDim KE_Red(1 To gdl, 1 To gdl)
ReDim V_Fuerzas(1 To gdl, 1)
ReDim Solution(1 To gdl, 1)
For i = 1 To gdl
For j = 1 To gdl
KE_Red(i, j) = sh4.Cells(i, j)
V_Fuerzas(i, 1) = sh4.Cells(i, gdl + 2)
Solution(i, 1) = 0
Next j
Next i
MInversa = WorksheetFunction.MInverse(KE_Red())
For i = 1 To gdl
For j = 1 To gdl
Solution(i, 1) = Solution(i, 1) + MInversa(i, j) * V_Fuerzas(j, 1)
sh4.Cells(i + 1 + gdl, j) = MInversa(i, j)
sh4.Cells(i + 1 + gdl, j).Interior.ColorIndex = 28
Next j
Next i
For i = 1 To gdl
Solution(i, 1) = Round(Solution(i, 1), 10)
sh4.Cells(i, gdl + 5) = Solution(i, 1)
sh4.Cells(i, gdl + 5).Interior.ColorIndex = 6
Next i
sh4.Cells(i, gdl + 5) = "RESULTADOS"
Dim VectorDesplazamientos() As Double
ReDim VectorDesplazamientos(1 To 3 * n, 1 To 1)
j = 1
For i = 1 To n * 3
If Not IsNumeric(sh3.Cells(i, 3 * n + 4)) Then
VectorDesplazamientos(i, 1) = Solution(j, 1)
j = j + 1
Else
VectorDesplazamientos(i, 1) = sh3.Cells(i, 3 * n + 4)
End If
Next i
For i = 1 To n * 3
sh3.Cells(i, 3 * n + 5) = VectorDesplazamientos(i, 1)
sh3.Cells(i, 3 * n + 5).Interior.ColorIndex = 6
Next i
'reacciones apoyos
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim MatrizCalculoApoyos() As Double
ReDim MatrizCalculoApoyos(1 To 1, 1 To 3 * n)
' Dim MatrizCalculoApoyos() As Double
' ReDim MatrizCalculoApoyos(1 To 3, 1 To 3 * n)
Dim Reaccion(1 To 3, 1 To 1) As Variant
Dim SwapDesplazamientos(1 To 9, 1 To 1) As Double
'Si encuentra reaccion en el nudo, monta su matriz resolver, cogiendola de la matriz completa
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
For Z = 1 To 3 * n
If Not IsNumeric(sh3.Cells(Z, 3 * n + 2)) Then
For j = 1 To 3 * n
MatrizCalculoApoyos(1, j) = sh3.Cells(Z, j)
Next j
Suma = 0
For j = 1 To 3 * n
Suma = Suma + MatrizCalculoApoyos(1, j) * VectorDesplazamientos(j, 1)
Next j
sh3.Cells(Z, 3 * n + 3) = Suma + Emp(Z)
sh3.Cells(Z, 3 * n + 3).Interior.ColorIndex = 6
End If
Next Z
' For Z = 1 To n
' If Reactions(Z) = "1" Then
' For i = 1 To 3
' For j = 1 To 3 * n
' MatrizCalculoApoyos(i, j) = sh3.Cells(3 * Z - (3 - i), j)
' Next j
' SwapDesplazamientos(i, 1) = VectorDesplazamientos(3 * Z - (3 - i), 1)
' Next i
'
' 'Reaccion = WorksheetFunction.MMult(MatrizCalculoApoyos(), VectorDesplazamientos())
'
' For i = 1 To 3
' Suma = 0
' For j = 1 To 3 * n
' Suma = Suma + MatrizCalculoApoyos(i, j) * VectorDesplazamientos(j, 1)
' Next j
' sh3.Cells(3 * Z - (3 - i), 3 * n + 3) = Suma + Emp(3 * Z - 3 + i)
' sh3.Cells(3 * Z - (3 - i), 3 * n + 3).Interior.ColorIndex = 6
' Next i
' End If
' Next Z
' Resultados = WorksheetFunction.MMult(WorksheetFunction.MInverse(KE_Red()), V_Fuerzas())
' For i = 1 To gdl
' sh4.Cells(i, 9) = Resultados(i, 1)
' sh4.Cells(i, 9).Interior.ColorIndex = 28
' Next i
'Calcula las reacciones para cada nudo para resolver los diagramas
'------------------------------------------------------------------------------------------------
'------------------------------------------------------------------------------------------------
Dim Coord(1 To 6, 1 To 6) As Double
Dim KLoc(1 To 6, 1 To 6) As Double
Dim FGlob(1 To 6, 1 To 1) As Double
Dim Desp(1 To 6, 1 To 1) As Double
Dim Swap() As Variant
Dim FLoc() As Variant
Dim FBarra(1 To 6, 1 To 1) As Variant
For Z = 1 To b
nudoi = sh.Cells(Z + 1, 2)
nudof = sh.Cells(Z + 1, 3)
sh5.Cells(8 * Z - 7, 2) = "ESFUERZOS LOCALES BARRA " & Z
sh5.Cells(8 * Z - 7 + 1, 1) = "Fx" & nudoi
sh5.Cells(8 * Z - 7 + 2, 1) = "Fy" & nudoi
sh5.Cells(8 * Z - 7 + 3, 1) = "M" & nudoi
sh5.Cells(8 * Z - 7 + 4, 1) = "Fx" & nudof
sh5.Cells(8 * Z - 7 + 5, 1) = "Fy" & nudof
sh5.Cells(8 * Z - 7 + 6, 1) = "M" & nudof
For i = 1 To 3
Desp(i, 1) = VectorDesplazamientos(3 * nudoi - 3 + i, 1)
Desp(3 + i, 1) = VectorDesplazamientos(3 * nudof - 3 + i, 1)
FGlob(i, 1) = sh.Cells(nudoi + 1, 18 + i)
FGlob(i + 3, 1) = sh.Cells(nudof + 1, 18 + i)
Next i
For i = 1 To 6
For j = 1 To 6
KLoc(i, j) = sh2.Cells(8 * Z - 7 + i, j)
Coord(j, i) = sh2.Cells(8 * Z - 7 + i, j + 7)
Next j
Next i
FLoc = WorksheetFunction.MMult(Coord(), FGlob())
Swap = WorksheetFunction.MMult(WorksheetFunction.MMult(KLoc(), Coord()), Desp())
For i = 1 To 6
FBarra(i, 1) = FLoc(i, 1) + Swap(i, 1)
sh5.Cells(8 * Z - 7 + i, 4) = FLoc(i, 1)
sh5.Cells(8 * Z - 7 + i, 6) = Swap(i, 1)
sh5.Cells(8 * Z - 7 + i, 2) = FBarra(i, 1)
sh5.Cells(8 * Z - 7 + i, 2).Interior.ColorIndex = 6
Next i
Next Z
End Sub
Sub calcular_estructura()
calculo_rigidez_por_barra
ensamblar_KE
reducir_y_resolver
End Sub
Sub limpiar_hoja()
Dim sh As Worksheet
Set sh = ThisWorkbook.Sheets("datos")
Set sh2 = ThisWorkbook.Sheets("rigidez_global_barra")
Set sh3 = ThisWorkbook.Sheets("ensamblado_matrices_completo")
Set sh4 = ThisWorkbook.Sheets("ke_reducida_solucion")
Set sh5 = ThisWorkbook.Sheets("esfuerzos_barras_diagramas")
sh2.Cells.Clear
sh3.Cells.Clear
sh4.Cells.Clear
sh5.Cells.Clear
End Sub