Figure 6.14 Modal Amplitude of Mode 1 vs. High Polarization Voltage Chapter 6: Reduced Order Modeling ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 6–34 Figure 6.15 Modal Amplitude of Mode 3 vs. High Polarization Voltage Calculated capacitances are shown in the following figures. Section 6.6: Sample Micro Mirror Analysis (Batch or Command Method) 6–35 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. Figure 6.16 Capacitances CAP12 and CAP13 vs. High Polarization Voltage Chapter 6: Reduced Order Modeling ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 6–36 Figure 6.17 Capacitance CAP23 vs. High Polarization Voltage Calculation of displacements at acting element loads ! *** Calculate deflection state at acting element loads /clear /filnam,use3 rmresu,mirror,rom /PREP7 ET,1,144,1 *do,i,1,30 n,i *enddo rmuse,on e,1,2,3,4,5,6,7,8 emore,9,10,11,12,13,14,15,16 emore,17,18,19,20,21,22,23,24 emore,25,26,27,28,29,30 FINISH /gst,off /solu Section 6.6: Sample Micro Mirror Analysis (Batch or Command Method) 6–37 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. antyp,static outres,all,all cnvtol,curt,1.0d-6,,2 d,11,volt,0 d,12,volt,0 d,13,volt,0 outres,all,all rmlvscale,2,1,0 ! Acceleration of 9.81 m/s**2 solve rmlvscale,2,0,-0.01 ! Pressure load of 10 kPa solve fini /post1 set,1 prdisp set,2 prdisp fini ! Start expansion pass /clear /filnam,gener ! Generation Pass jobname resu,mirror,db rmre,mirror,rom physics,clear physics,read,STRU /solu rmuse,on,use3 ! Specify reduced solution file name expass,on expsol,,,,ON solve fini /post1 set,1 plnsol,u,z,2 set,2 plnsol,u,z,2 fini An acceleration of 9.81 m/s2 and a uniform pressure load of 10 kPa were applied to the upper mirror wing. Computed displacements at the expansion pass are shown in Figure 6.18: “Expanded Displacements for Accel- eration Load” and Figure 6.19: “Expanded Displacements for Pressure Load”. Chapter 6: Reduced Order Modeling ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 6–38 Figure 6.18 Expanded Displacements for Acceleration Load Section 6.6: Sample Micro Mirror Analysis (Batch or Command Method) 6–39 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. Figure 6.19 Expanded Displacements for Pressure Load Prestressed harmonic analysis The following example demonstrates the change of harmonic transfer functions at different polarization voltages. The higher the applied polarization voltage, the more the resonance peak shifts to the left. ! *** Prestressed harmonic analysis /clear /filname,use4 rmresu,mirror,rom /PREP7 ET,1,144,1 *do,i,1,30 n,i *enddo rmuse,on e,1,2,3,4,5,6,7,8 emore,9,10,11,12,13,14,15,16 emore,17,18,19,20,21,22,23,24 emore,25,26,27,28,29,30 FINISH /gst,off /solu antyp,static outres,all,all cnvtol,curt,1.0d-6,,2 pstress,on d,11,volt,0 Chapter 6: Reduced Order Modeling ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 6–40 d,12,volt,800 d,13,volt,-800 solve fini /solu antype,harmonic pstress,on harfrq,0,5e4 nsubst,100 kbc,1 d,11,volt,1 d,12,volt,0 d,13,volt,0 solve fini /post26 /axlab,x,Frequency /axlab,y,Modal Amplitude nsol,2,1,emf,,mode1 plvar,2 /axlab,y,Nodal amplitude nsol,3,21,ux,,up_edge nsol,4,23,ux,,lo_edge plvar,3,4 /axlab,y,Phase angle plcplx,1 plvar,3,4 fini Figure 6.20 Harmonic Transfer Function Amplitude for 800 V Polarization Voltage Section 6.6: Sample Micro Mirror Analysis (Batch or Command Method) 6–41 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. Figure 6.21 Harmonic Transfer Function Phase Angle for 800 V Polarization Voltage Nonlinear Transient Analysis ! *** Nonlinear transient analysis /clear /filnam,use5 rmresu,mirror,rom /PREP7 ET,1,144 *do,i,1,20 n,i *enddo rmuse,on e,1,2,3,4,5,6,7,8 emore,9,10,11,12,13,14,15,16 emore,17,18,19,20 FINISH /gst,off /config,nres,5000 /solu cycle_t=500e-6 ! Cycle time of one saw tooth ! about 20 times the cycle time of mode 1 rise_t=cycle_t/10 ! Rise time num_cyc=3 ! Number of cycles antype,transient nropt,full deltime,rise_t/10,rise_t/10,rise_t/10 auto,off outres,all,all Chapter 6: Reduced Order Modeling ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 6–42 kbc,0 j=1 *do,i,1,num_cyc time,cycle_t*(i-0.5)+rise_t*(i-1) d,11,volt,100 d,12,volt,400 d,13,volt,-400 lswrite,j j=j+1 time,cycle_t*(i-0.5)+rise_t*i d,11,volt,-100 d,12,volt,400 d,13,volt,-400 lswrite,j j=j+1 *enddo time,cycle_t*num_cyc+rise_t*num_cyc d,11,volt,0 lswrite,j lssolve,1,j fini /post26 /axlab,y, Modal amplitudes nsol,2,1,emf,,mode1 nsol,3,2,emf,,mode2 plvar,2,3 fini This example demonstrates the response of a saw tooth like voltage function. The voltage displacement relation- ship is linearized since a high polarization voltage of 400 V is applied to both fixed electrodes. The amount of remaining oscillations depend strongly on the cycle time and the damping ratios. In practice, most mirror cells operate in a closed loop to a controller circuit to obtain better performance. Section 6.6: Sample Micro Mirror Analysis (Batch or Command Method) 6–43 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. [...]... following direct coupled-field analysis topics are available: 7. 1 Lumped Electric Elements 7 2 ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc Section 7. 1: Lumped Electric Elements 7. 2 Thermal-Electric Analysis 7. 3 Piezoelectric Analysis 7. 4 Piezoresistive Analysis 7. 5 Structural-Thermal Analysis 7. 6 Structural-Thermal-Electric Analyses 7. 7 Magneto-Structural Analysis 7. 8 Electromechanical... Function 6–44 ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc Chapter 7: Direct Coupled-Field Analysis The direct method for doing a coupled-field analysis involves a single analysis that uses a coupled-field element Table 7. 1: Coupled-Field Elements” lists the elements that have coupled-field capability Table 7. 1 Coupled-Field Elements Element Name Description SOLID5 Coupled-field. .. direct magneto-structural analysis, you must use one of the following element types: PLANE13 - coupled-field quadrilateral solid SOLID5 - coupled-field brick SOLID62 - magneto-structural brick SOLID98 - coupled-field tetrahedron 7 14 ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc Section 7. 8: Electromechanical Analysis 7. 7.1 Points to Remember The analysis may be either... piezoelectric analysis is a pressure transducer Possible piezoelectric analysis types (available in the ANSYS Multiphysics or ANSYS Mechanical products only) are static, modal, prestressed modal, harmonic, prestressed harmonic, and transient ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc 7 5 Chapter 7: Direct Coupled-Field Analysis To do a piezoelectric analysis, you... (SOLCONTROL) is not available for a piezoresistive analysis ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc 7 9 Chapter 7: Direct Coupled-Field Analysis 7. 4.2 Material Properties A piezoresistive analysis requires the specification of electrical resistivity, the elastic coefficients, and the piezoresistive matrix These are explained next 7. 4.2.1 Electrical Resistivity You specify... Electromechanical Analysis 7. 9 Sample Thermoelectric Cooler Analysis (Batch or Command Method) 7. 10 Sample Thermoelectric Generator Analysis (Batch or Command Method) 7. 11 Sample Structural-Thermal Harmonic Analysis (Batch or Command Method) 7. 12 Sample Electro-Thermal Microactuator Analysis (Batch or Command Method) 7. 13 Sample Piezoelectric Analysis (Batch or Command Method) 7. 14 Sample Piezoresistive Analysis. .. - Coupled-Field Hexahed- Thermoelastic (Thermal Stress) ral Analysis Types Static Full Transient PLANE13 - Coupled-Field Quadrilateral SOLID98 - Coupled-Field Tetrahedral PLANE223 - Coupled-Field Quadri- Thermoelastic (Thermal Stress and Static lateral Piezocaloric) Full Harmonic SOLID226 - Coupled-Field HexahedFull Transient ral SOLID2 27 - Coupled-Field Tetrahedral ANSYS Coupled-Field Analysis Guide. .. Properties Analysis Types KXX, KYY, KZZ Static PLANE 67 - Thermal-Electric Quadrilateral RSVX, RSVY, RSVZ SOLID69 - Thermal-Electric Hexahedral DENS, C, ENTH Transient (transient thermal effects only) SOLID5 - Coupled-Field Hexahedral SOLID98 - Coupled-Field Tetrahedral SHELL1 57 - Thermal-Electric Shell 7 4 ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc Section 7. 3: Piezoelectric... PLANE223, SOLID226, and SOLID2 27 7–6 ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc Section 7. 3: Piezoelectric Analysis 7. 3.2 Material Properties A piezoelectric model requires permittivity (or dielectric constants), the piezoelectric matrix, and the elastic coefficient matrix to be specified as material properties These are explained next 7. 3.2.1 Permittivity Matrix (Dielectric... e32 e 42 ( 2 − D) The TB,PIEZ and TBDATA commands are used to define the piezoelectric matrix; see your ANSYS Commands Reference for the order of input of these constants ANSYS Coupled-Field Analysis Guide ANSYS Release 10.0 002184 © SAS IP, Inc 7 7 Chapter 7: Direct Coupled-Field Analysis To define the piezoelectric matrix via the GUI, use the following: Main Menu> Preprocessor> Material . SAS IP, Inc. 7 2 7. 2. Thermal-Electric Analysis 7. 3. Piezoelectric Analysis 7. 4. Piezoresistive Analysis 7. 5. Structural-Thermal Analysis 7. 6. Structural-Thermal-Electric Analyses 7. 7. Magneto-Structural. simulations. The following direct coupled-field analysis topics are available: 7. 1. Lumped Electric Elements Chapter 7: Direct Coupled-Field Analysis ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0. design. Section 7. 1: Lumped Electric Elements 7 3 ANSYS Coupled-Field Analysis Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. 7. 2. Thermal-Electric Analysis This analysis, available in the ANSYS