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CFVR1805 - NCSE94: Seismic Analysis (Simplified spectrum) Y-axis

Seismic Analysis on a 1 DOF beam according to NCSE 94

This example compares spectrum accelerations given by CivilFEM to accelerations obtained when solving on a 1 DOF beam and to the correct NCSE 94 spectum accelerations.
The model is 1 element beam with only 1 DOF, which direction the CivilFEM spectrum is set (the rest of the DOF are constrained). A different mass is applied at the free end of the beam for the beam period to be equal to the 20 CivilFEM spectrum points. After solving, the mass acceleration is obtained and compared to the CivilFEM spectrum acceleration and to the correct value. Therefore, this example checks the following results:

  • CivilFEM spectrum is defined correctly by comparing to the correct value
  • CivilFEM spectrum is applied correctly and response acceleration is equal to spectrum acceleration

Element types used in the model: BEAM4, MASS21

Needed CivilFEM Modules:
Geotechnical Module
Bridges and Civil Non Linearities Module
Advanced Prestressed Concrete Module

The example can be launched on an educational license.
KEYWORDS
Seismic
NCSE 94

Model Statistics
Number of elements 1
Number of nodes 2
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR1805.DAT


   FINISH
  ~CFCLEAR,,1
  NomFile='CFVR1805'
  /TITLE, %NomFile%, NCSE94: Seismic Analysis (Simplified spectrum) Y-axis

! ----------------------------------------------------------------------
! Model definition
! ----------------------------------------------------------------------
! CivilFEM Setup: Code & Units
~UNITS,,LENG,CM
~UNITS,,TIME,S
~UNITS,,FORC,KP
~CODESEL,,,,,NCSE94
/PREP7
! Preprocessor
! ----------------------------------------------------------------------
! Materials: A-42
 ~CFMP,1,LIB,STEEL,EA,A42
! Modify density (Rho = 0)
 ~CFMP,1,USER
 ~CFMP,1,DatGen  ,RHO     ,,0
! Element Types
  ET,1,BEAM4   ! Type 1: 3D Beam
  ET,2,MASS21  ! Type 2: Mass
! Sections
 ~SSECLIB,1,1,1,1   !IPE 80
 ~BMSHPRO,1,BEAM,1,1,,,4,,0,,

! Nodes
  L = 10              ! L    : Bar length
  N, 1
  N,10,L

! Elements
  TYPE,1
  MAT ,1
  REAL,1
  EN,1,1,10
  EPLOT

! Parameters
  *GET,AR20,EX,1                         ! Ex   : Elastic Modulus
  ~CFGET,AR22,SECTION,1,MECHPROP,A,,2    ! Area : Bar area
  ~CFGET,AR23,SECTION,1,MECHPROP,IZZ,,2  ! Izz  : Moment of inertia
  ~CFGET,AR24,SECTION,1,MECHPROP,IYY,,2  ! Iyy  : Moment of inertia

! Spectrum definition
  ~DEFSPEC,ALL,0.13,I,DESIGN,50,1,4,4

  pi = 3.141592654

! ----------------------------------------------------------------------
! DATA CHECK
! ----------------------------------------------------------------------
! Data comparison number
  NComp = 40
  NComp_ch = 0

! Marix dim.
  *DIM,LABEL,CHAR,Ncomp,1
  *DIM,LABEL_CH,CHAR,Ncomp_ch,1
  *DIM,VALUE,,Ncomp,3
  *DIM,VALUE_CH,CHAR,Ncomp_ch,3
  *DIM,TOLER,,Ncomp,2

*DO,ARG1,1,20
   /PREP7
   ~CFGET,AR26,SEISM,,SPEC,TH,,ARG1,1   ! Period
   ! Labels
   LABEL(ARG1,1) = 'Sa(%ARG1%)y'
   LABEL(20+ARG1,1) = 'Sa(%ARG1%)y'
   AR25=12*AR20*AR23/L**3     ! Bending stiffness around Z axis
   AR27=AR25*(AR26/(2*pi))**2  ! Mass applied at end
   R,2,0,AR27
   TYPE,2
   MAT, 1
   REAL,2
   EN,2,10
   FINISH
   /SOLU
 ! Solution
 ! ---------------------------------------------------------------------
 ! Displacements
   D,1,,,,,,ALL,,,,,
   D,10,,,,,UX, ,UZ,ROTX,ROTY,ROTZ,
   ~MODLSOL,1,
   ~CMBMOD,NONE,HORIZONT,NONE,0,0.0001,
 ! Query results
   *GET,ARG5,NODE,10,U,Y
 ! Correct values
   VALUE(20-ARG1+1,1)=ARG5*AR25/AR27 ! Acceleration
 ! Obtained values
   ~CFGET,VALUE(20-ARG1+1,2),SEISM,,SPEC,SDH,,ARG1,2	 ! Y components of design horizontal spectrum
   ~CFGET,VALUE(40-ARG1+1,2),SEISM,,SPEC,SDH,,ARG1,2	 ! Y components of design horizontal spectrum
   ! CivilFEM gives the spectrum Normalized by gravity.
   ! To compare it must be changed to user acceleration units.
   VALUE(20-ARG1+1,2) = VALUE(20-ARG1+1,2)*981
   VALUE(40-ARG1+1,2) = VALUE(40-ARG1+1,2)*981
   /PREP7
   EDELE,2
*ENDDO

! Correct values
! ----------------------------------------------------------------------
   VALUE(40,1) =  8.715
   VALUE(39,1) = 17.43
   VALUE(38,1) = 26.14
   VALUE(37,1) = 34.86
   VALUE(36,1) = 43.57
   VALUE(35,1) = 52.29
   VALUE(34,1) = 61.00
   VALUE(33,1) = 69.72
   VALUE(32,1) = 78.43
   VALUE(31,1) = 87.15
   VALUE(30,1) = 87.15
   VALUE(29,1) = 91.19
   VALUE(28,1) = 95.22
   VALUE(27,1) = 99.26
   VALUE(26,1) = 103.3
   VALUE(25,1) = 107.3
   VALUE(24,1) = 111.4
   VALUE(23,1) = 115.4
   VALUE(22,1) = 119.5
   VALUE(21,1) = 123.5

! Warning and error tolerances
! ----------------------------------------------------------------------
   *DO,II,1,40
     TOLER(II, 1)= 1E-01 $ TOLER(II, 2)= 1E-01
   *ENDDO

! ----------------------------------------------------------------------
! Results Comparison
! ----------------------------------------------------------------------
  COMPARA.MAC

Results

LabelTargetCivilFEMRatioTolerance
Sa(1)y 123.49 123.491.000 0.1
Sa(2)y 119.45 119.451.000 0.1
Sa(3)y 115.42 115.421.000 0.1
Sa(4)y 111.38 111.381.000 0.1
Sa(5)y 107.34 107.341.000 0.1
Sa(6)y 103.3 103.31.000 0.1
Sa(7)y 99.262 99.2621.000 0.1
Sa(8)y 95.224 95.2241.000 0.1
Sa(9)y 91.186 91.1861.000 0.1
Sa(10)y 87.148 87.1481.000 0.1
Sa(11)y 87.148 87.1481.000 0.1
Sa(12)y 78.433 78.4331.000 0.1
Sa(13)y 69.718 69.7181.000 0.1
Sa(14)y 61.003 61.0031.000 0.1
Sa(15)y 52.289 52.2891.000 0.1
Sa(16)y 43.574 43.5741.000 0.1
Sa(17)y 34.859 34.8591.000 0.1
Sa(18)y 26.144 26.1441.000 0.1
Sa(19)y 17.43 17.431.000 0.1
Sa(20)y 8.7148 8.71481.000 0.1
Sa(1)y 123.5 123.491.000 0.1
Sa(2)y 119.5 119.451.000 0.1
Sa(3)y 115.4 115.421.000 0.1
Sa(4)y 111.4 111.381.000 0.1
Sa(5)y 107.3 107.341.000 0.1
Sa(6)y 103.3 103.31.000 0.1
Sa(7)y 99.26 99.2621.000 0.1
Sa(8)y 95.22 95.2241.000 0.1
Sa(9)y 91.19 91.1861.000 0.1
Sa(10)y 87.15 87.1481.000 0.1
Sa(11)y 87.15 87.1481.000 0.1
Sa(12)y 78.43 78.4331.000 0.1
Sa(13)y 69.72 69.7181.000 0.1
Sa(14)y 61 61.0031.000 0.1
Sa(15)y 52.29 52.2891.000 0.1
Sa(16)y 43.57 43.5741.000 0.1
Sa(17)y 34.86 34.8591.000 0.1
Sa(18)y 26.14 26.1441.000 0.1
Sa(19)y 17.43 17.431.000 0.1
Sa(20)y 8.715 8.71481.000 0.1


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