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| موضوع: كتاب Mechanics of Elastic Structures with Inclined Members السبت 26 مايو 2012, 10:50 pm | |
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تذكير بمساهمة فاتح الموضوع :أخوانى فى الله أحضرت لكم كتاب Mechanics of Elastic Structures with Inclined Members - Analysis of Vibration, Buckling and Bending of X-Braced Frames and Conical Shells Chin Hao Chang
ويتناول الموضوعات الأتية :
1 Two Methods for Analysis of Continuum Mechanics of Elastic Structures 1 1.1 Longitude Vibration of a Bar 1 1.1.1 Formulation – By Equation of Motion 1 1.1.2 Solutions 2 1.1.3 An Example – A Fixed-Free Bar 3 1.1.4 Orthogonality of Normal Functions – Clebsch’s Theorem [34] 3 1.1.5 Transient and Forced Vibrations 4 1.2 Transverse Vibration of a Beam 5 1.2.1 Formulation – By Energy Method – Hamilton’s Principle [23] 5 1.2.2 An Example – A Fixed-Free Beam 7 2 Vibrations of Inclined Bars with End Constraint 9 2.1 One-Dimensional Model of Inclined Members 9 2.2 Formulation for Vibrations of Inclined Bars 10 2.3 Normal Functions and Frequency Equations 12 2.3.1 Inclined Bars with Hinged – “Hinged” Ends 12 2.3.2 Inclined Bars with Bottom Hinged and Top “Clamped” 15 2.3.3 Inclined Bars with Bottom Clamped and Top “Hinged” 16 2.3.4 Inclined Bars with Bottom Clamped and Top Clamped in Rotation 17 2.4 Orthogonality of the Normal Functions 19 3 Vibrations of Frames with Inclined Members 21 3.1 Formulation 21 3.2 Vibrations of Two-Bar Frames 23 3.2.1 Frames with All Joints Hinged 24 X Contents 3.2.2 Frames with Two Ends Fixed and Central Joint Hinged 27 3.2.3 Frames with All Joints Rigidly Connected 28 3.2.4 Frames with Two Ends Hinged and Central Joint Rigidly Connected 30 3.3 Vibrations of Three-Bar Frames 31 3.4 Orthogonality of the Normal Functions 33 4 Vibrations of X-Braced Portal Frames 35 4.1 Free Vibration 35 4.2 Forced Vibration 42 5 Vibrations of X-Braced Multi-Story Frames 47 5.1 Formulation 47 5.2 Free Vibration 49 5.3 Vibrations due to Horizontal Forces and Ground Motion 49 5.4 Numerical Examples 51 5.4.1 Natural Frequencies of 2- to 5-Story Frames 51 5.4.2 Modes of Free Vibrations of Two 3-Story Frames 55 5.4.3 Forced Vibrations of a 3-Story Frame 56 5.4.4 Response to Horizontal Ground Vibrations for 3-, 4- and 5-Story Frames 57 5.4.5 Comparison with a Rectangular Unbraced Frame 58 5.5 Discussion 59 6 Effect of Rotatory Inertia and Shear Deformation on Vibration of Inclined Bars with End Constraint 63 6.1 Formulation 63 6.2 Solutions 65 6.2.1 Inclined Bars with Hinged – “Hinged” Ends 66 6.2.2 Inclined Bars with Bottom Hinged-Top “Clamped” 69 6.2.3 Inclined Bars with Bottom Clamped-Top “Hinged” 70 6.2.4 Inclined Bars with Bottom Clamped-Top Clamped in Rotation 71 7 Out-of-Plane Vibrations of Plane Frames 75 7.1 Formulation 75 7.2 Free Vibration 78 7.3 Forced Vibration 80 7.4 Numerical Examples 85 7.5 Discussion 87 Contents XI 8 Buckling of Inclined Columns 93 8.1 Large Deflection Theory for Buckling of Inclined Columns 94 8.2 Solutions 97 8.2.1 Inclined Columns with Two Ends Simply Supported 97 8.2.2 Inclined Columns with Lower End Fixed and Upper End “Hinged” 101 8.2.3 Inclined Columns with Lower End Hinged and Upper End Fixed in Rotation 103 8.2.4 Inclined Columns with Lower End Fixed and Upper End Fixed in Rotation 103 8.3 Eigenvalue Method 104 8.4 Effect of Angle Change 108 8.5 Comparison with Conventional Approach 109 8.5.1 Mises Truss 110 8.5.2 For an Inclined Column 111 9 Inclined Girders with End Constraint Subjected to Normal Loads 113 9.1 Formulation and Solutions 115 9.2 Effect of Angle Change 120 9.3 Comparison of Beam-Column Solutions 124 9.3.1 AISC Formula 124 9.3.2 Cheong’s Beam-Column Formula 125 10 A Boundary-Layer Solution Verified by Buckling of a Rectangular Plate 127 10.1 Basic Equations for Buckling of a Plate and Boundary-Layer Solution 127 10.2 Comparison of Analytic Solutions with Experimental Results 130 11 Buckling of Conical Shells under a Single Axial Load 133 11.1 Formulation of Large Deflection Theory for Buckling of Conical Shells 133 11.2 Membrane and Bending Solutions 136 11.3 Deformation 138 11.4 Effect of Angle Change 141 11.5 Discussion of the Results 142 12 Conical Shells of Linearly Varying Thickness Subjected to Normal Loads 145 12.1 Basic and Characteristic Equations 145 12.2 Asymptotic Solutions 151 12.3 Particular Solutions due to Lateral Normal Loads 154 XII Contents 12.4 An Example – A Semi-Circular Cone Subjected to Normal Loads 156 13 Asymptotic Solutions of Conical Shells of Constant Thickness 163 13.1 Basic Equations 163 13.2 Membrane Solutions 165 13.3 Solutions of Bending Effect 167 13.4 A Particular Solution 170 13.5 Numerical Examples 171 13.5.1 The Semi-Circular Cone Studied in Chap 12 171 13.5.2 A Cantilever Complete Cone 171 13.6 Appendix 177 14 Membrane Vibrations of Conical Shells 179 14.1 Basic Equations for Membrane Vibrations 179 14.2 Vibrations in the Meridional Direction 180 14.3 Solutions for Free Vibrations 181 14.4 Numerical Examples 183 14.4.1 Cones with the Small End Fixed (S-fixed) and Large End Free (L-free) 183 14.4.2 Cones with the Small End Free, (S-free) and Large End Fixed (L-fixed) 184 14.4.3 Cones with Both Ends Free (Free-free) 185 14.4.4 Cones with Both Ends Fixed (Fixed-fixed) 186 14.5 Forced and Transient Vibrations 186 14.6 Axisymmetric Torsional Vibrations 188 14.7 Solutions and Frequency Equations for Four Cases 189 Appendix Elements of Matrix [Aij] of (4.7) 193 References 197 Index 201
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