Análise de deformação da rede GNSS/SP com base na teoria da elasticidade

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(VWLPDWLYDGRVSDUkPHWURVGHGHIRUPDomR

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ݒሺݔǡ ݕሻ ൌ ܾ଴൅ ܾଵሺݔ െ ݔ଴ሻ ൅ ܾଶሺݕ െ ݕ଴ሻǡ

(63)

RQGH

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RULJHPGHXPVLVWHPDORFDOGHFRRUGHQDGDV

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ݒ൫ݔଵǡ ݕଵ൯ ൌ ܾ଴൅ ܾଵሺݔଵെ ݔ଴ሻ ൅ ܾଶሺݕଵെ ݕ଴ሻ

ݓሺݔଵǡ ݕଵሻ ൌ ܿ଴൅ ܿଵሺݔଵെ ݔ଴ሻ ൅ ܿଶሺݕଵെ ݕ଴ሻ

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ݑ൫ݔ௡ǡ ݕ௡൯ ൌ ܽ଴൅ ܽଵሺݔ௡െ ݔ଴ሻ ൅ ܽଶሺݕ௡െ ݕ଴ሻ

ݒ൫ݔ௡ǡ ݕ௡൯ ൌ ܾ଴൅ ܾଵሺݔ௡െ ݔ଴ሻ ൅ ܾଶሺݕ௡ െ ݕ଴ሻ

ݓ൫ݔ௡ǡ ݕ௡൯ ൌ ܿ଴൅ ܿଵሺݔ௡െ ݔ଴ሻ ൅ ܿଶሺݕ௡ െ ݕ଴ሻ

(VWDVHTXDo}HVSRGHPVHUUHHVFULWDVQDIRUPDPDWULFLDOFRPR ݀ ൅ ݒ ൌ ܤܿƸ

(64)

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݀ሺݔǡ ݕǡ ݖǡ ݐ െ ݐ଴ሻ ൌ ܤሺݔǡ ݕǡ ݖǡ ݐ െ ݐ଴ሻܿǡ

RQGH

GpRYHWRUGHGHVORFDPHQWRGRSRQWRGHFRRUGHQDGDV[\] WpSRFDLQLFLDO

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ݒ൫ݔǡ ݕǡ ݖǢ ݐ െ ݐ଴൯

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ܤ௨൫ݔǡ ݕǡ ݖǢ ݐ െ ݐ଴൯ܿ௨

ܤ௩൫ݔǡ ݕǡ ݖǢ ݐ െ ݐ଴൯ܿ௩

ܤ௪൫ݔǡ ݕǡ ݖǢ ݐ െ ݐ଴൯ܿ௪

(65)

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ݒ ൌ ݒሺݔǡ ݕሻ ൌ ܾ଴൅ܾଵሺݔ െ ݔ଴ሻ ൅ܾଶሺݕ െ ݕ଴ሻǤ

$VVRFLDQGR DV FRRUGHQDGDV FDUWHVLDQDV ݔǡ ݕǡ ݖ DR VLVWHPD JHRGpVLFRORFDO݁ǡ ݊ǡ ݑWHUHPRVRVHJXLQWHPRGHORGHGHIRUPDomR

݀௘ ൌ ܽ଴൅ ܽଵ݁௜ ൅ ܽଶ݊௜ǡ

݀௡ ൌ ܾ଴൅ ܾଵ݁௜൅ ܾଶ݊௜Ǥ

(VWDV HTXDo}HV UHODFLRQDP RV GHVORFDPHQWRV FRP DV GHIRUPDo}HVHVmRGHQRPLQDGDVGHUHODo}HVGHVORFDPHQWRGHIRUPDomR

(66)

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6ROXo}HVJHRGpVLFDVSDUDRH[SHULPHQWR

2 SURFHVVDPHQWR FRP R *$0,7 IRUQHFHX FRPR UHVXOWDGR DV FRRUGHQDGDV H VXDV UHVSHFWLYDV 09& GDV HVWDo}HV SDUD FDGD FDPSDQKD 1DV WDEHODV GH D VmR DSUHVHQWDGRV RV GHVYLRV SDGUmR SDUD FDGD FDPSDQKD

7DEHOD±'HVYLRSDGUmRHVWDomR6-53

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

(67)

7DEHOD'HVYLRSDGUmRHVWDomR63$5

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

7DEHOD'HVYLRSDGUmRHVWDomR526$

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7DEHOD'HVYLRSDGUmRHVWDomR,/+$

(68)

7DEHOD'HVYLRSDGUmRHVWDomR285,

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

7DEHOD'HVYLRSDGUmRHVWDomR337(

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

1DV WDEHODV GH D R GHVYLR SDGUmR GDV FRRUGHQDGDV GDV HVWDo}HV XWLOL]DGDV FRPR UHIHUrQFLD QR DMXVWDPHQWR GD 5HGH LQYHVWLJDGD H WDPEpPQRVFiOFXORVGRVSDUkPHWURVGHGHIRUPDomR

7DEHOD'HVYLRSDGUmRHVWDomR%5$=

(69)

7DEHOD'HVYLRSDGUmRHVWDomR&+3,

&DPSDQKD V1FP V(FP V8FP

FDPSDQKD

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FDPSDQKD

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7DEHOD'HVYLRSDGUmRHVWDomR6$92

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

7DEHOD'HVYLRSDGUmRHVWDomR8)35

&DPSDQKD V1FP V(FP V8FP FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD

(70)

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9HULILFRXVH TXH RV YDORUHV REWLGRV VmR SUHFLVRV H FRPSDWtYHLV FRP RV UHVXOWDGRV GHWHUPLQDGRV SRU RXWURV FHQWURV GH SURFHVVDPHQWR DSUHVHQWDQGRGLVFUHSkQFLDVGDRUGHPGHFHQWtPHWURV

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(71)

7DEHOD±'HVORFDPHQWRQDHVWDomRGH6-53

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FDPSDQKD

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)LJXUD'HVORFDPHQWRQDHVWDomRGH6-53

1DHVWDomRGH6-53pSRVVtYHOSHUFHEHUXPPDLRUGHVORFDPHQWR QD FRPSRQHQWH SODQLPpWULFD 1 HQWUH DV FDPSDQKDV   H  TXH FRUUHVSRQGHPDRVDQRVGHH

0,00000 0,00500 0,01000 0,01500 0,02000 0,02500 0,03000 0,03500 0,04000

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3ª campanha

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(72)

7DEHOD'HVORFDPHQWRQDHVWDomRGH63$5

&DPSDQKD$QDOLVDGD ǻ1P ǻ(P ǻ8P

FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD FDPSDQKD )LJXUD'HVORFDPHQWRQDHVWDomRGH63$5

(73)

7DEHOD'HVORFDPHQWRQDHVWDomRGH526$

&DPSDQKD$QDOLVDGD ǻ1P ǻ(P ǻ8P

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(74)

7DEHOD'HVORFDPHQWRQDHVWDomRGH,/+$

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References