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Mechanical impedance

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306: 214:(e.g., force) to a flow (e.g., velocity) where the arguments of the real (or imaginary) parts of both increase linearly with time. Examples of potentials are: force, sound pressure, voltage, temperature. Examples of flows are: velocity, volume velocity, current, heat flow. Impedance is the reciprocal of mobility. If the potential and flow quantities are measured at the same point then impedance is referred as driving point impedance; otherwise, transfer impedance. 54:
frequencies, the mechanical impedance will be lower, meaning less force is needed to cause a structure to move at a given velocity. A simple example of this is pushing a child on a swing. For the greatest swing amplitude, the frequency of the pushes must be near the resonant frequency of the
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is a measure of how much a structure resists motion when subjected to a harmonic force. It relates forces with velocities acting on a mechanical system. The mechanical impedance of a point on a structure is the ratio of the force applied at a point to the resulting velocity at that point.
117: 185: 163: 141: 205: 60: 48: 347: 284: 366: 340: 246: 168: 146: 124: 371: 321: 333: 190: 33: 8: 236: 231: 280: 241: 211: 112:{\displaystyle \mathbf {F} (\omega )=\mathbf {Z} (\omega )\mathbf {v} (\omega )} 317: 360: 305: 27: 51: 30:
or mobility. The mechanical impedance is a function of the frequency
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of the applied force and can vary greatly over frequency. At
265:'Motion Control Systems', Chapter 5, A. Sabanovic, 2011 193: 171: 149: 127: 63: 36: 199: 179: 157: 135: 111: 42: 26:Mechanical impedance is the inverse of mechanical 358: 16:Relationship between harmonic force and velocity 221:Reactance - the imaginary part of an impedance. 341: 277:Applied Structural and Mechanical Vibrations 274: 275:Gatti, Paolo L.; Ferrari, Vittorio (1999). 218:Resistance - the real part of an impedance. 348: 334: 210:Mechanical impedance is the ratio of a 359: 300: 13: 14: 383: 304: 173: 151: 129: 96: 82: 65: 268: 259: 106: 100: 92: 86: 75: 69: 1: 252: 320:. You can help Knowledge by 187:is the impedance matrix and 180:{\displaystyle \mathbf {Z} } 158:{\displaystyle \mathbf {v} } 136:{\displaystyle \mathbf {F} } 7: 225: 10: 388: 299: 207:is the angular frequency. 247:Linear response function 165:is the velocity vector, 200:{\displaystyle \omega } 43:{\displaystyle \omega } 316:-related article is a 201: 181: 159: 137: 113: 44: 202: 182: 160: 143:is the force vector, 138: 114: 45: 191: 169: 147: 125: 61: 34: 20:Mechanical impedance 367:Physical quantities 279:. E & FN Spon. 237:Frequency response 232:Acoustic impedance 197: 177: 155: 133: 109: 40: 329: 328: 242:Impedance analogy 379: 350: 343: 336: 308: 301: 291: 290: 272: 266: 263: 206: 204: 203: 198: 186: 184: 183: 178: 176: 164: 162: 161: 156: 154: 142: 140: 139: 134: 132: 118: 116: 115: 110: 99: 85: 68: 49: 47: 46: 41: 387: 386: 382: 381: 380: 378: 377: 376: 357: 356: 355: 354: 297: 295: 294: 287: 273: 269: 264: 260: 255: 228: 192: 189: 188: 172: 170: 167: 166: 150: 148: 145: 144: 128: 126: 123: 122: 95: 81: 64: 62: 59: 58: 35: 32: 31: 17: 12: 11: 5: 385: 375: 374: 369: 353: 352: 345: 338: 330: 327: 326: 309: 293: 292: 285: 267: 257: 256: 254: 251: 250: 249: 244: 239: 234: 227: 224: 223: 222: 219: 196: 175: 153: 131: 108: 105: 102: 98: 94: 91: 88: 84: 80: 77: 74: 71: 67: 39: 15: 9: 6: 4: 3: 2: 384: 373: 372:Physics stubs 370: 368: 365: 364: 362: 351: 346: 344: 339: 337: 332: 331: 325: 323: 319: 315: 310: 307: 303: 302: 298: 288: 286:0-419-22710-5 282: 278: 271: 262: 258: 248: 245: 243: 240: 238: 235: 233: 230: 229: 220: 217: 216: 215: 213: 208: 194: 119: 103: 89: 78: 72: 56: 53: 37: 29: 24: 21: 322:expanding it 311: 296: 276: 270: 261: 209: 120: 57: 25: 19: 18: 361:Categories 253:References 28:admittance 212:potential 195:ω 104:ω 90:ω 73:ω 52:resonance 38:ω 226:See also 55:system. 314:physics 121:Where, 283:  312:This 318:stub 281:ISBN 363:: 349:e 342:t 335:v 324:. 289:. 174:Z 152:v 130:F 107:) 101:( 97:v 93:) 87:( 83:Z 79:= 76:) 70:( 66:F

Index

admittance
resonance
potential
Acoustic impedance
Frequency response
Impedance analogy
Linear response function
ISBN
0-419-22710-5
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physics
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expanding it
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Physical quantities
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