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Vibrations Fundamentals and Practice ans Maintaining the outstanding features and practical approach that led the bestselling first edition to become a standard textbook in engineering classrooms worldwide, Clarence de Silva''''s Vibration: Fundamentals and Practice, Second Edition remains a solid instructional tool for modeling, analyzing, simulating, measuring, monitoring, testing, controlling, and designing for vibration in engineering systems. It condenses the author''''s distinguished and extensive experience into an easy-to-use, highly practical text that prepares students for real problems in a variety of engineering fields.
de Silva, Clarence W “Answers to Numerical Problems” Vibration: Fundamentals and Practice Clarence W de Silva Boca Raton: CRC Press LLC, 2000 Answers to Numerical Problems CHAPTER 2.22 keq = 3EI/l 3; meq = 33m/140 2.31 (d) 2.75 × 10–2 rad·s–1, 0.564 Yes, at 2.27 × 10–2 rad·s–1 CHAPTER 3.5 3.7 3.12 3.16 3.18 (c) 6.455 × 103 N·s·m–1 (d) (i) r > , (ii) r > 1.73, 1.964, 2.871, 3.77, 7.075; (e) Yes (c) 1.0, , (c) 1.0, , (a) –0.55 ± j 1.6424 CHAPTER 4.1 4.2 4.3 4.6 4.14 b c 0.31, –72°, 0.10, –0.29, –2.7 dB (i) 10 samples/s; (ii) 102.4 s; (iii) 1024 complex values First and last 512 give the same values; (iv) 512; (v) 0.01 Hz; (vi) Hz; (vii) 400; (viii) Hz 4.15 1.0, 0.875 , 3, 0.3974 , (8 3) , ? 4.20 (ii) Meaningless; (iii) decades; (iv) 1/2 octave; (v) No dimensions 4.21 1–80 Hz; 4–50 Hz; 1–200 Hz; 20 Hz–20 kHz; Problem dependent CHAPTER 5.8 (b) (0,7/6), unstable; (π, 5/6), unstable; (π/3, 4/3), stable 5.14 (c) ω0 = 1.0 rad·s–1, ω1 = 0.765367 rad·s–1, ω2 = 1.847759 rad·s–1; θ1 = 0.25 cosω1t + 0.75 cosω2t; θ2 = cosω1t – cosω2t CHAPTER 6.12 (a) 8.0 × 1010 N·m–2; (b) Steel 6.25 0.8603336 l (G ρ) , sin 0.8603336x/l CHAPTER 7.7 7.8 7.9 7.13 7.14 (a) 0.08 (b) 0.045 (b) 0.08 to 2.06 × 107 N·m–1 (b) (i) 50.6 rad·s–1, 0.1; (ii) 1.5 cm; (iii) 50.1 rad·s–1, 10.02 rad·s–1 ©2000 CRC Press CHAPTER 8.4 8.5 8.11 8.18 8.20 8.26 (b) 0.99% (d) 0.09; (e) 6.25 × 104 N·m–1 to 25.0 × 104 N·m–1 1000 Hz 100.0 s (a) 98.37% to 99.99%; (c) 170 Hz 144.0, 5.9% CHAPTER 9.2 9.3 9.6 9.16 9.20 (b) 44.5 Mbits·s–1 –7.5 V, –14 V 31.8 kHz, µs (a) 3600 rpm, 15 1% CHAPTER 10 10.2 10.8 10.11 10.15 10.17 Directions 1, 2, 3, or (a) 2000 Hz; (b) 80 Hz; (c) 50 Hz; (d) 2000 Hz; (e) 500 Hz; (f) 40 Hz (i) 21/3; (iii) Two; (iv) 1/2 (c) 4.6 g, 30.0 rad·s–1; (d) 0.23 cm·s–1; 653.3 rad·s–1 (c) (i) 25 Hz, 80 g; 50 Hz, 160 g; (ii) 3.2 cm, 160 g; (iii) 3.2 cm, 3.0 m·s–1; 29 g; 23 g CHAPTER 11 11.5 11.6 11.8 11.16 (b) 20 dB/decade; (c) –20 dB/decade (a) 0.356 Hz; (b) 0.355 Hz 0.023, 0.038 1.0 rad·s–1, 0.2 CHAPTER 12 12.6 12.7 12.8 12.9 12.10 12.11 12.12 12.13 12.14 12.15 12.23 12.24 12.28 12.29 12.30 12.31 12.32 12.34 82.0 N·cm–1, 6.1 cm 2.7 × 104 N·m–1; 286.0 N·m–1·s, 38.1 rad·s–1 3.3 × 105 N·m–1, 7.8 × 103 N·m–1·s 3.3, 0.45 Mount 6.9 gm at –6.6° (b) 8.9 gm at –23° (b) Plane 1: 42.3 gm at 107°; Plane 2: 18.8 gm at 121° (c) (iii) 0.4 kg, 2.6 kg 15.3 gm at 53.4° 0.2 (a) 2338.6 rpm; (b) 3.376 cm; (c) 17 119.2 rad·s–1 (a) 2430 cycles·m–1, 3330 cycles·m–1; (b) 2616 to 2832 rpm; (c) 2.8 × 10–3 mm·N–1, 18.4 × 10–3 mm·N–1 3.2 kg and 1.7 × 105 N·m–1 3.33 kg, 1.184 × 105 N·m–1, 180.4 N·s·m–1, 8.26/0.074 0.1 (b) 156 rad·s–1, 2.75 kg, 1.085 × 104 N·m–1, 58.7 N·m–1·s ©2000 CRC Press ...Answers to Numerical Problems CHAPTER 2.22 keq = 3EI/l 3; meq = 33m/140 2.31 (d) 2.75 × 10–2 rad·s–1,... 0.31, –72°, 0.10, –0.29, –2.7 dB (i) 10 samples/s; (ii) 102.4 s; (iii) 1024 complex values First and last 512 give the same values; (iv) 512; (v) 0.01 Hz; (vi) Hz; (vii) 400; (viii) Hz 4.15 1.0,... cycles·m–1, 3330 cycles·m–1; (b) 2616 to 2832 rpm; (c) 2.8 × 10–3 mm·N–1, 18.4 × 10–3 mm·N–1 3.2 kg and 1.7 × 105 N·m–1 3.33 kg, 1.184 × 105 N·m–1, 180.4 N·s·m–1, 8.26/0.074 0.1 (b) 156 rad·s–1, 2.75