Knowledge (XXG)

Duality (mechanical engineering)

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132: 83: 160: 194: 145: 165: 44: 24:. A dual of a relationship is formed by interchanging force (stress) and deformation (strain) in an expression. 199: 35: 17: 53: 155: 150: 49: 40: 71: 188: 127:{\displaystyle \sigma =E\varepsilon \iff \varepsilon ={\frac {1}{E}}\sigma \,} 31: 86: 126: 27:Here is a partial list of mechanical dualities: 20:, many terms are associated into pairs called 8: 103: 99: 123: 110: 85: 181:, 2nd edition, Prentice-Hall, Inc. 1977 179:A First Course in CONTINUUM MECHANICS 7: 14: 161:Mechanical–electrical analogies 100: 1: 146:Duality (electrical circuits) 166:Series and parallel springs 216: 195:Mechanical engineering 128: 18:mechanical engineering 129: 65:Constitutive relation 84: 70:stress and strain ( 124: 54:flexibility method 156:List of dualities 151:Hydraulic analogy 118: 207: 200:Duality theories 133: 131: 130: 125: 119: 111: 50:stiffness method 215: 214: 210: 209: 208: 206: 205: 204: 185: 184: 174: 142: 82: 81: 67: 62: 12: 11: 5: 213: 211: 203: 202: 197: 187: 186: 183: 182: 173: 170: 169: 168: 163: 158: 153: 148: 141: 138: 137: 136: 135: 134: 122: 117: 114: 109: 106: 102: 98: 95: 92: 89: 76: 75: 66: 63: 61: 58: 57: 56: 47: 38: 13: 10: 9: 6: 4: 3: 2: 212: 201: 198: 196: 193: 192: 190: 180: 177:Fung, Y. C., 176: 175: 171: 167: 164: 162: 159: 157: 154: 152: 149: 147: 144: 143: 139: 120: 115: 112: 107: 104: 96: 93: 90: 87: 80: 79: 78: 77: 73: 69: 68: 64: 59: 55: 51: 48: 46: 42: 39: 37: 33: 30: 29: 28: 25: 23: 19: 178: 26: 21: 15: 72:Hooke's law 36:deformation 189:Categories 172:References 121:σ 105:ε 101:⟺ 97:ε 88:σ 140:See also 60:Examples 52:— 43:— 34:— 45:strain 41:stress 32:force 22:duals 16:In 191:: 74:.) 116:E 113:1 108:= 94:E 91:=

Index

mechanical engineering
force
deformation
stress
strain
stiffness method
flexibility method
Hooke's law
Duality (electrical circuits)
Hydraulic analogy
List of dualities
Mechanical–electrical analogies
Series and parallel springs
Categories
Mechanical engineering
Duality theories

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