este archivo se basa es la guia para el desarrollo de la practica al momento de rectificarDescripción completa
Descripción completa
procedureFull description
Full description
the best book for normal mode analysis
Rect Tank DesignDescripción completa
llFull description
Nabori od armiranog betonaDeskripsi lengkap
Steel Plate design sheet is attached to it.Full description
design of sickle plateFull description
type of roof
plate separator description
Base plateFull description
Chequered Plate design
Modes of Discovery
A chart of one-position patterns for modes in the Major, Harmonic Minor, and Melodic Minor keys, written for the 4-string electric bass. Included as well is a list of common chords that asso…Descripción completa
Descrição: quality
WORKSHOP 14 NORMAL MODES OF A RECTANGULAR PLATE
Problem Description
A rectangular plate is simply supported at all edges. Find the first 10 normal modes for this plate.
E = 10 x 106 psi
ν =0.33
ρ = 0.101 lb/in3
t = 0.125 in
Workshop Objectives
Perform a normal modes analysis on a rectangular plate.
Evaluate the quality of the normal modes solution graphically.
Compare analysis results to theoretical results.
Evaluate the effect of varying mesh density.
Suggested Exercise Steps 1.
Create a new database and name it rectangular_plate1. rectangular_plate1.db. db.
2.
Create a rectangular surface.
3.
Mesh the surface to create plate elements.
4.
Create material material properties. properties. Don’t forget forget to enter density.
5.
Create physical properties.
6.
Apply Loads and Boundary Conditions.
7.
Perform a normal modes analysis to determine the first 10 modes for the plate.
8.
Read the results into MSC.Patran.
9.
Plot the mode shapes. Visually evaluate the quality of the mode shapes.
10.
Compare the first natural frequency to theoretical results.
11.
File / save a copy as rectangular_plate2.db.
12.
Close the database and open the rectangular_plate2 database.
13.
Delete the original results file.
14.
Re-mesh the surface. Use a global edge length of 0.5 in. in.
15.
Re-run the analysis.
16.
Attach the new results file to the database.
17.
Plot the mode shapes.
Step 1. Create New Database
a
a
Create a new database called rectangular_plate1.db
d
a. File / New. b. Enter rectangular_plate1 rectangular_plate1 as the file name. c. Click OK OK.. d. Choose Default Tolerance.
e
e. Select MSC.Nastran as the Analysis Code. f. Select Structural as the Analysis Type. g. Click OK OK..
f b
c g
Step 2. Create a Rectangular R ectangular Surface
Create a surface a. Geom Geomet etry ry:: Cre Creat ate e/ Surface / XYZ.
a
b. Enter <12 <12 8 0> 0> for the Vector Coordinates list. c. Click Apply Apply..
b
c
Step 3. Mesh the Surface
Create a surface mesh a. Eleme Element nts: s: Cre Creat ate e / Me Mesh sh / Surface.
a
b. Se Sele lect ct the the sur surfa face ce.. c. Enter 1.4 1.4 for the Global Edge Length. d. Click Apply Apply..
b
c
d
Step 4. Create Material Properties
Create an isotropic material a. Materia Materials: ls: Cre Create ate / Isot Isotrop ropic ic / Manual Input. b. Enter plate_material plate_material for the Material Name.
a
c. Click Input Properties. Properties.
d e
d. Enter 10e6 10e6 for the Elastic Modulus.
f
e. Enter 0.33 0.33 for the Poisson Ratio. f. Enter 0.101 0.101 for the Density. g. Click OK OK.. h. Click Apply Apply..
b
c
Step 5. Create Physical Properties
Create physical properties a. Prop Proper erti ties: es: Cr Crea eate te / 2D / Shell.
a
b. Enter plate_prop plate_prop as the Property Set Name. c. Click Input Properties. Properties. d. Select plate_material as the material.
e
e. Enter 0.125 0.125 for the Thickness.
b
f. Click OK OK..
c d
Step 5. Create Physical Properties
Apply the physical properties
a
a. Prop Proper erti ties: es: Cr Crea eate te / 2D 2D / Shell. b. Clic Click k in in the the Se Sele lect ct Members box. c. Rect Rectan angu gula larr pic pick k the the entire plate as shown. d. Click Add Add.. e. Click Apply Apply..
c
b d
Step 6. Apply Loads and Boundary Conditions
Create a boundary condition a. Load Loads/ s/BC BCs: s: Cre Creat ate e/ Displacement / Nodal.
a
b. Enter simple_support simple_support as the New Set Name. c. Click Input Data. Data.
d
d. Enter <0,0,0> <0,0,0> for Translations e. Click OK OK..
b
c
Step 6. Apply Loads and Boundary Conditions
Apply the boundary condition a. Click Select Application Region. Region. b. For For th the e Ge Geom omet etry ry Filter select Geometry.. Geometry
b
c. Set Set the the Se Sellec ecti tion on Filter to Curve or Edge and select an edge. d. Click Add Add.. e. Repe Repeat at th the e pr proc oced edur ure e until all four edges have been added.
c d
f. Click OK OK.. g. Click Apply Apply..
f
a
Step 7. Run Normal Modes Analysis
Analyze the model a. Analy Analysis sis:: Anal Analyze yze / Enti Entire re Model / Full Run.
a
b. Click Solution Type. Type. c. Choose Normal Modes. Modes. d. Click Solution Parameters. Parameters. e. Enter 0.00259 0.00259 for Wt.-Mass conversion.
c
f. Click OK OK.. g. Click OK OK.. h. Click Apply Apply..
e
d b f
g
Step 8. Read Results into MSC.Patran
Attach the results file a. Analy Analysis sis:: Acce Access ss Res Resul ults ts / Attach XDB / Result Entities.
a
b. Click Select Results File. File. c. Choo Choose se th the e re resu sults lts fil file e Rectangular_plate1.xdb.. Rectangular_plate1.xdb
c
d. Click OK OK.. e. Click Apply Apply..
d
b
Step 9. Plot Mode Shapes
Create a quick plot a. Resu Results lts:: Cre Creat ate e / Qui Quick ck Plot.
a
b. Select Eigenvectors, Translational as the Deformation Result. c. Click Apply Apply.. First 10 modes: 1_________
6_________
2_________
7_________
3_________
8_________
4_________
9_________
b 5_________
10________
Step 10. Compare to Theoretical Results
Theoretical results based on “Formulas for Natural Frequency and Mode Shape”, 1984 edition, Table 11-4, case 16
f 1
2 λ1
2π
Et 2 a 12 (1
3 2
)
a = 12, b = 8, a/b = 1.5 λ12 = 32.08
E = 10 x 106 t = 0.125 ν = 0.33 ρ = 0.101/386.1 = 2.616 x 10-4 γ = ρ . t = 3.270 x 10-5
f 1 = 265 Hz
Step 11. Save a Copy
a
Save a copy of the file a. Fi File le:: Sav Save e a Co Copy py.. b. Type rectangular_plate2 as the file name. c. Click Save Save..
b
c
Step 12. Open the New N ew Database
a
b
c Close the original file and open the new file a. File: Cl Close se.. b. File: Open. c. Sele Select ct th the e fil file: e: rectangular_plate2.db . d. Click OK OK..
d
Step 13. Delete Old Results File
e Delete XDB attachment a. Analy Analysis sis:: Dele Delete te / XDB XDB Attachment.
a
b. Select th the rectangular_plate1 .xdb attachment. c. Click Apply Apply.. d. Choose Yes to delete the attachment. e. Click Click on th the e fro front nt vi view ew icon.
b
Step 14. Re-Mesh the Surface
Create a finer mesh a. Eleme Element nts: s: Cr Crea eate te / Mesh Mesh / Surface.
a
b. Se Selec lectt the the enti entire re sur surfa face ce.. c. Enter 0.5 0.5 for the Global Edge Length. d. Click Apply Apply.. e. Choose Yes to delete the existing mesh.
b c d
Step 15. Run Normal Modes Analysis
Analyze the model a. Anal Analys ysis is:: Ana Analy lyze ze / Entire Model / Full Run.
a
b. Cha Chang nge e th the job job name to: rectangular_plate2.. rectangular_plate2 c. Click Apply Apply..
b
Step 16. Attach New Results File
Attach the results file a. Analy Analysis sis:: Acce Access ss Res Resul ults ts / Attach XDB / Result Entities.
a
b. Click Select Results File. File. c. Choo Choose se th the e re resu sults lts fil file e rectangular_plate2 .xdb. .xdb. d. Click OK OK..
c
e. Click Apply Apply..
d
b
Step 17. Plot Mode Shapes
Create a quick plot a. Resu Results lts:: Cre Creat ate e / Qui Quick ck Plot.
a
b. Select Eigenvectors, Translational as the Deformation Result. c. Click Apply Apply.. First 10 modes: 1_________
