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The objective of this course is for students to develop the necessary theoretical understanding of the principles of nonlinear structural analysis.
The objective of this course is for students to develop the necessary theoretical understanding of the principles of nonlinear structural analysis and dynamics. This subject matter is essential to understand structures that respond nonlinearly with extreme and time-varying loading. It is particularly relevant for structural engineers in New Zealand that deal with day-to-day analysis of complex inelastic structures subject to earthquake forces from time to time during seismic events.Given the current advancement of computer technology, many user-friendly software have been developed and made available in the design office for structural engineers to conduct nonlinear analysis at ease. However, these software are usually designed as a black box that hides all the core calculation processes. Without sufficient understanding of the principles, structural engineers could run a risk of committing the crime of GIGO (Garbage In, Garbage Out) in the analyses, and without realizing it. This course sets out to equip students with this understanding. Given the fact that most analysis software come with very detailed user manuals, this course will not provide step-by-step instructions in using software, but, rather, will focus on the principles and equip students with sufficient understanding to conduct their analyses correctly.This course is essential for students who are interested in advanced methods of analysis for structural engineering, but the same principles covered in the course can also be applied to other disciplines including geotechnical, structural fire, fluid, and mechanical engineering. While this course contains a sizeable amount of theoretical detail, the emphasis is on students gaining a holistic view of the salient features of the nonlinear analysis of inelastic structures. In addition to the way in which the lectures are presented, such emphasis will be achieved via the use of numerous examples and application-based assignments using software. Particular emphasis is given to earthquake engineering problems.The course includes topics on geometrical and material nonlinearity, structural stability, structural elements (fibre section, beam-column element and plastic hinge element), nonlinear solution strategy, constraints, damping, and response history analysis.While there is no pre-requisite for this course, students interested in enrolling should be conversant with basic knowledge in engineering mathematics, solid mechanics, structural analysis, and structural dynamics. Any needed advanced knowledge not usually available in typical undergraduate curricula in civil engineering will be taught in the course.Course Content:Module 0: Preliminary on matrix structural analysisModule 1: Introduction to nonlinear structural analysisModule 2: Nonlinear materialsModule 3: Fibre sectionsModule 4: Beam-column elementsModule 5: Nonlinear geometry and stabilityModule 6: Solution strategiesModule 7: Linear dynamicsModule 8: Nonlinear dynamics
At the conclusion of this course students should be able to:- Understand and explain basic principles and numerical procedures of nonlinear structural analysis and dynamics, its capabilities and limitations;- Develop and apply independently the new analysis skills and techniques to solve engineering problems in their industrial practice and academic research; and- Study and review independently the cutting-edge literatures in relevant fields.
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
Employable, innovative and enterprising
Students will develop key skills and attributes sought by employers that can be used in a range of applications.
Students will comprehend the influence of global conditions on their discipline and will be competent in engaging with global and multi-cultural contexts.
Subject to approval of the Head of Department orProgramme Co-ordinator.
Students must attend one activity from each section.
This course is taught in two 2-day block. In each day, from 9 am to 5 pm, there will be four 1.5-hour lectures and two 30-mins tutorials spread evenly throughout the day. There will also be assignments and a project.
The assessment for this paper will comprise three components – assignments, a test and a project. Both test and project will focus on theoretical and practical (but not simulation-intensive) aspects of the course. The assignments will be used to ensure you have an adequate grasp of the theoretical basis of the taught material.Notes:1. You cannot pass this course unless you achieve a mark of at least 40% in the mid-semester test and final exam. A student who narrowly fails to achieve 40% in either the test or the exam, but who performs very well in the other, may be eligible for a pass in the course.2. All assignments must be submitted by the due date. Late submissions will not be accepted. If a student is unable to complete and submit an assignment by the deadline due to personal circumstances beyond their control they should discuss this with the lecturer involved as soon as possible (preferably prior to the due date) and refer to points 5 and 6 below.3. All assignments must be done individually. Project is to be done in pairs. More information about the project will come after the first block of lectures.4. Students in this course can apply for special consideration provided they have sat the test and submitted the project.5. Students may apply for special consideration if their performance in an assessment is affected by extenuating circumstances beyond their control. Applications for special consideration should be submitted via the Examinations Office website within five days of the assessment. However, where an extension may be granted for an assessment, this will be decided by direct application to the Course co-ordinator and an application to the Examinations Office may not be required. Special consideration is not available for items worth less than 10% of the course.6. Students prevented by extenuating circumstances from completing the course after the final date for withdrawing, may apply for special consideration for late discontinuation of the course. Applications must be submitted to the Examinations Office within five days of the end of the main examination period for the semester.
Copies of course materials will be made available during lectures. The following lists some reference materials that you may find useful:1. Bozorgnia, Y., & Bertero, V. V. (Eds.). (2004). Earthquake engineering: from engineering seismology to performance-based engineering. CRC press. (note: read chapter 6)2. McGuire, W., Gallagher, R.H. & Ziemian, R.D. (2000). Matrix Structural Analysis. 2nd Edition. John Wiley & Sons. (note: free to download from MASTAN2 website)3. Deierlein, G.G., Reinhorn, A.M. & Willford, M.R. (2010) Nonlinear structural analysis for seismic design, NEHRP seismic design technical brief 4, 1–36.4. Simo, J.C. & Hughes, T.J.R. (1998). Computational Inelasticity, Springer.5. Chopra, A.K. (2016). Dynamics of structures - Theory and Applications to Earthquake Engineering. Pearson. 5th edition.6. Paultre, P. (2010). Dynamics of Structures. Wiley-ISTE. 1st Edition7. Crisfield, M.A. (1991). Non-linear finite element analysis of solids and structures (Vol. 1: Essentials). Wiley.8. Crisfield, M.A. (1997). Non-linear finite element analysis of solids and structures (Vol. 2: Advanced Topics). Wiley. 9. Jirásek, M., & Bazant, Z.P. (2002). Inelastic analysis of structures. John Wiley & Sons.
Domestic fee $1,114.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see
Civil and Natural Resources Engineering