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1. Given the piezoelectric constituent equations: 21 S11 S12 S13 00 S12 S11 S13 00 00 S13 S13 S 00 0 IMUI 8.0 0

1. Given the piezoelectric constituent equations: 21 S11 S12 S13 00 S12 S11 S13 00 00 S13 S13 S 00 0 IMUI 8.0

1. Given the piezoelectric constituent equations: 21 S11 S12 S13 00 S12 S11 S13 00 00 S13 S13 S 00 0 IMUI 8.0

1. Given the piezoelectric constituent equations: 21 S11 S12 S13 00 S12 S11 S13 00 00 S13 S13 S 00 0 IMUI 8.0 0 0 0 0 000 844 0 0 0 0 0 2(811-S12) 22 00 + 00 dai 0 0 da 0 0 dis 0 0 0 dis 0 0 [E E Es 0 0 0 723 731 712 Show the process to derive: [0]=[C][]+[e][E] [D]=[e][o]+[{][E] 0 dis 0 0 d15 0 0 d31 d31 d33 01 00 e 0 0 0 + 0 ei 0 E E Es 01 02 03 04 05 06 1. Given the piezoelectric constituent equations: 21 S11 S12 S13 00 S12 S11 S13 00 00 S13 S13 S 00 0 IMUI 8.0 0 0 0 0 000 844 0 0 0 0 0 2(811-S12) 22 00 + 00 dai 0 0 da 0 0 dis 0 0 0 dis 0 0 [E E Es 0 0 0 723 731 712 Show the process to derive: [0]=[C][]+[e][E] [D]=[e][o]+[{][E] 0 dis 0 0 d15 0 0 d31 d31 d33 01 00 e 0 0 0 + 0 ei 0 E E Es 01 02 03 04 05 06

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