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Official Journal of the Japan Wood Research Society

Table 3 Estimations by the vibration method with additional mass for the large specimens

From: Practical techniques for the vibration method with additional mass: bending vibration generated by tapping cross section

Specimen

Without M

With M (vibration method with additional mass)

W 0 (kg)

ρ 0 (kg/m3)

f 10(Hz)

E 0 (GPa)

f 1 (Hz)

Uncorrected

Corrected

W (kg)

ρ (kg/m3)

E (GPa)

Ratio

W (kg)

ρ (kg/m3)

E (GPa)

Ratio

Microphone placement 2, y-axis: T-direction, concentrated mass placement 1, tapping 1, refer to Fig. 2

 No.1

7.132

431

253.7500

12.04

233.5313

6.546

395

11.05

0.92

6.326

382

10.68

0.89

 No.2

6.592

399

252.5938

11.10

229.9688

5.580

338

9.40

0.85

5.387

326

9.07

0.82

 No.3

7.216

409

220.6563

11.17

205.5313

7.966

451

12.34

1.10

7.721

437

11.96

1.07

 No.4

6.102

383

231.5750

9.48

211.7750

5.950

374

9.24

0.98

5.747

361

8.93

0.94

 No.5

6.987

403

218.6500

11.04

202.7500

7.383

426

11.67

1.06

7.154

413

11.31

1.02

Microphone placement 2, y-axis: T-direction, concentrated mass placement 2, tapping 1, refer to Fig. 2

 No.1

7.132

431

253.7500

12.04

236.8750

8.280

500

13.97

1.16

6.341

383

10.70

0.89

 No.2

6.592

399

252.5938

11.10

233.2188

6.887

417

11.60

1.04

5.235

317

8.82

0.79

 No.3

7.216

409

220.6563

11.17

207.4375

9.433

534

14.61

1.31

7.384

418

11.43

1.02

 No.4

6.102

383

231.5750

9.48

214.4500

7.225

454

11.22

1.18

5.503

346

8.55

0.90

 No.5

6.987

403

218.6500

11.04

204.5000

8.569

495

13.55

1.23

6.688

386

10.57

0.96

Microphone placement 2, y-axis: R-direction, concentrated mass placement 1, tapping 1, refer to Fig. 2

 No.1

7.132

431

255.0000

12.17

237.1875

7.776

470

13.27

1.09

7.521

454

12.83

1.05

 No.2

6.592

399

245.5938

10.45

224.1563

5.783

350

9.17

0.88

5.585

338

8.85

0.85

 No.3

7.216

409

222.7200

11.38

207.2400

7.826

443

12.35

1.08

7.585

430

11.97

1.05

 No.4

6.102

383

236.0250

9.44

217.5000

6.679

420

10.33

1.09

6.455

406

9.99

1.06

 No.5

6.987

403

220.0000

11.15

203.7500

7.234

418

11.55

1.04

7.010

405

11.19

1.00

Microphone placement 2, y-axis: R-direction, concentrated mass placement 2, tapping 1, refer to Fig. 2

 No.1

7.132

431

255.0000

12.17

238.1250

8.332

503

14.21

1.17

6.382

386

10.89

0.89

 No.2

6.592

399

245.5938

10.45

228.0313

7.547

457

11.96

1.14

5.758

349

9.13

0.87

 No.3

7.216

409

222.7200

11.38

208.8000

8.951

507

14.12

1.24

6.995

396

11.03

0.97

 No.4

6.102

383

236.0250

9.44

219.1750

7.563

475

11.70

1.24

5.771

363

8.93

0.95

 No.5

6.987

403

220.0000

11.15

205.7500

8.560

494

13.66

1.23

6.679

386

10.66

0.96

Average (standard deviation) of 20 data

1.10 (0.12)

 

0.95 (0.081)

  1. M concentrated mass, W weight, ρ density, f 1 resonance frequency of the first mode, E Young’s modulus, Suffix 0: data without the concentrated mass, Ratio: W/W 0 = ρ/ρ 0 = E/E 0