Performance-Based Optimization of Structures: Theory and Applications

by Liang; Qing Quan

• ISBN13: 9780415335942
• ISBN10: 0415335949
• Edition: 1st
• Format: Hardcover
• Copyright: 2004-11-30
• Publisher: CRC Press

Summary

Performance-Based Optimization of Structuresintroduces a method to bridge the gap between structural optimization theory and its practical application to structural engineering. The Performance-Based Optimization (PBO) method combines modern structural optimisation theory with performance based design concepts to produce a powerful technique for use in structural design. This book provides the latest PBO techniques for achieving optimal topologies and shapes of continuum structures with stress, displacement and mean compliance constraints. The emphasis is strongly placed on practical applications of automated PBO techniques to the strut-and-tie modelling of structural concrete, which includes reinforced and prestressed concrete structures. Basic concepts underlying the development of strut-and-lie models, design optimization procedure, and detailing of structural concrete are described in detail. Alternative approaches to topology optimization are also introduced. The book contains numerouspractical design examples illustrating the nature of the load transfer mechanism of structures.

Table of Contents

Preface	x
Acknowledgments	xii
Notations	xiv
1 Introduction	1	(10)
1.1 Background	1	(2)
1.2 Types of structural optimization	3	(1)
1.3 Performance-based design	4	(3)
1.4 General formulation of optimization problems	7	(1)
1.5 The finite element method	8	(1)
1.6 References	9	(2)
2 PBO for fully stressed topology design	11	(34)
2.1 Introduction	11	(2)
2.2 Performance objective for structures with stress constraints	13	(1)
2.3 Element removal criteria based on stress level	14	(2)
2.4 Element elimination techniques	16	(1)
2.5 Stress-based performance indices	16	(4)
2.6 Performance-based optimality criteria	20	(1)
2.7 Performance characteristics of structures with stress constraints	21	(1)
2.8 Performance optimization procedure	22	(2)
2.9 Element addition and deletion schemes	24	(4)
2.10 Cavity controls in topology optimization	28	(2)
2.11 Examples	30	(11)
2.12 Conclusion	41	(1)
2.13 References	42	(3)
3 PBO for structures with displacement constraints	45	(46)
3.1 Introduction	45	(1)
3.2 Performance objective for structures with displacement constraints	46	(1)
3.3 Element removal criteria based on virtual strain energy density	47	(3)
3.4 Checkerboard patterns	50	(3)
3.5 Displacement-based performance indices	53	(4)
3.6 Performance-based optimality criteria	57	(1)
3.7 Performance characteristics of structures with displacement constraints	58	(1)
3.8 Performance optimization procedure	59	(2)
3.9 Element addition and deletion schemes	61	(4)
3.10 Examples of plane stress structures	65	(15)
3.11 Examples of plates in bending	80	(8)
3.12 Conclusion	88	(1)
3.13 References	89	(2)
4 PBO for structures with mean compliance constraints	91	(43)
4.1 Introduction	91	(2)
4.2 Performance objective for structures with mean compliance constraints	93	(1)
4.3 Element removal criteria based on strain energy density	94	(2)
4.4 Checkerboard suppression algorithm	96	(1)
4.5 Energy-based performance indices	97	(2)
4.6 Performance-based optimality criteria	99	(1)
4.7 Performance characteristics of structures with mean compliance constraints	100	(1)
4.8 Optimal design for multiple load cases	101	(2)
4.9 Performance optimization procedure	103	(2)
4.10 Element addition and deletion schemes	105	(2)
4.11 Sizing optimization of continuum structures	107	(3)
4.12 Integrated topology, shape and sizing optimization	110	(3)
4.13 Examples	113	(17)
4.14 Conclusion	130	(1)
4.15 References	131	(3)
5 Automatic generation of strut-and-tie models in structural concrete	134	(74)
5.1 Introduction	134	(1)
5.2 Historical development of strut-and-tie model approach	135	(2)
5.3 Traditional methods for developing strut-and-tie models	137	(1)
5.4 Key features of strut-and-tie modeling	138	(2)
5.5 B- and D-regions in concrete structures	140	(1)
5.6 Strut-and-tie modeling as a topology optimization problem	141	(1)
5.7 Limit analysis and finite element modeling	142	(2)
5.8 Optimization criteria for strut-and-tie models	144	(2)
5.9 Design optimization procedure	146	(2)
5.10 Dimensioning struts, ties and nodal zones	148	(5)
5.11 Multiple load cases	153	(1)
5.12 Optimal strut-and-tie models in reinforced concrete	154	(29)
5.13 Optimal strut-and-tie models in prestressed concrete	183	(5)
5.14 Worked design examples	188	(15)
5.15 Conclusion	203	(2)
5.16 References	205	(3)
6 Optimization of lateral load resisting systems	208	(47)
6.1 Introduction	208	(3)
6.2 Lateral load resisting systems	211	(8)
6.3 Steel-concrete composite systems	219	(9)
6.4 Semirigid connections	228	(1)
6.5 Optimization of bracing systems	229	(6)
6.6 Sizing optimization of lateral load resisting systems	235	(2)
6.7 Design examples	237	(15)
6.8 Conclusion	252	(1)
6.9 References	253	(2)
Author index	255	(3)
Subject index	258