Master of Science Courses

Prof.ir. A.C.W.M. Vrouwenvelder/Dr.ir. R.D.J.M. Steenbergen

Prof.dr. A.V. Metrikine
The goal of this course is to introduce various dynamic models of structures and to acquaint the students with the main ideas and methods of structural dynamics.
The content of the course is as follows: Challenging dynamic problems of modern civil engineering; types and sources of dynamic loading on structures; dynamic behaviour of systems with 1 and 2 degrees of freedom revisited: main phenomena, introduction to the Fourier Analysis, aeroelastic instabilities (galloping and flutter).
 Vibrations of discrete systems with N degrees of freedom (N DOF).
Derivation of equations of motion; free vibrations of undamped N DOF systems: natural frequencies and normal modes, modal mass matrix and modal stiffness matrix, the Rayleigh method; forced vibrations of undamped N DOF systems: Modal Analysis, the steadystate response to a harmonic load, the frequencyresponse function. Modal Analysis, Fourier Analysis, the steadystate response to a harmonic load of N DOF systems with viscous damping.  Vibrations of onedimensional (1D) continuous systems of finite length.
Derivation of equations of motion for beam in bending, beam in shear, rod in axial motion, rod in torsion and taut cable; the boundary and interface conditions for continuous systems; free vibrations of undamped 1D continuous systems: the method of separation of variables, natural frequencies and normal modes; forced vibrations of 1D continuous systems (both with and without viscous damping): Modal Analysis, Fourier Analysis, the steadystate response to a harmonic load.  Waves of onedimensional (1D) continuous systems.
Excitation, propagation, reflection and transmission of pulses in cables and rods; harmonic waves and representation of traveling pulses as the superposition of the harmonic waves; Dispersion Analysis; the steadystate response of piles and rails to harmonic loads.

Dr.ir. P.C.J. Hoogenboom
Many structures can be modelled as thin shells. Examples are pressure vessels, ancient domes, LNG storage tanks, airplane fuselages, industrial chimneys, oil pipes and BLOB architecture. This course provides analytical and computational methods for analysing these structures. Particular attention is given to edge disturbances, inextensional deformation and imperfection sensitivity. 
Dr.ir. K.N. van Dalen
This course provides international M.Sc. students starting the M.Sc. programme Structural Engineering with the required mechanics knowledge. The course consists of two modules: an introduction to continuum mechanics and dynamics of discrete mechanical systems. In the first module, students learn to use the stress and strain tensors, associated transformations (Mohr’s circle), the stressstrain relation and failure models for linear elastic homogeneous materials. In the second part, students learn to analyze single and twodegreeoffreedom models with and without viscous damping, respectively; i.e, free vibrations, forced vibrations due to different types of loading and steadystate vibrations. During the course, students get familiar with using MAPLE to solve problems. They also use this program for solving the exam problems (assignments). 
Dr.ir. P.C.J. Hoogenboom
Ductile material behaviour and the consequences for structural behaviour. The upper and lowerbound theorem. Application to beams, frames and plates loaded inplane or outofplane. 
Dr.ir. M.A.N. Hendriks/Prof.dr.ir. J.G. Rots
The goal of this course is to get familiar with the fundamental theory of plates and slabs (plates loaded out of plane). For practical applications, the Finite Element Method is introduced and utilized extensively for the solution of realistic plate and slab study cases. The course topics include: the three systems of basic equations (kinematic, constitutive, equilibrium), several analytic solutions, introduction to the finite element method. 
Dr. A. Simone
This course serves as an introduction to the static analysis of characteristic civil engineering slender structures and to matrix structural analysis. Structures like tall buildings and suspension bridges, just to cite some examples, will be reduced to the equivalent one dimensional mechanical system. A systematic approach is used to express the mechanical behavior of these systems into mathematical terms. The course is offered every year in the first quarter.

Prof.dr.ir. L.J. Sluys/Dr. A. Simone
This course provides an introduction to the finite element method. Aspects of the finite element method, from the mathematical background through to practical implementation and use are discussed. Emphasis is placed on solving problems in elasticity and structural mechanics. The course is offered every year in the third quarter. 
Prof.dr.ir. L.J. Sluys
In the lecture series computational techniques for the description of nonlinear behaviour of materials and structures are treated. Main topics are the solution techniques for nonlinear static an dynamic problems and the conceptual and algorithmic treatment of nonlinear material models (plasticity, damage, fracture).
The series provides the student with the basic knowledge to adequately use standard finite element packages that are equipped with the tools for nonlinear mechanics. 
Dr.ir. F.P. van der Meer
This course deals with fundamental and practical aspects of buckling. Buckling and postbuckling behavior is related to the fundamental principle of minimum potential energy. This principle is applied to buckling of simple systems such as the Euler beam as well as to more complex phenomena like lateraltorsional buckling. The more practical parts of the course concern the analysis of stability of frames: simple hand calculations and nonlinear computational analysis. 
Prof.ir. A.C.W.M. Vrouwenvelder
In this course the dynamic response of structures is calculated under random fluctuating loadings like wind, waves, traffic and earthquakes. First an introduciton into the theory of random processes is given. Next random loads are modelled as (piecewise) stationary Gaussian processes and the procedures to derive a description of the response of damped massspring systems (displacements, accelerations, stresses) is presented. Assessment criteria for comfort, resistance limits and fatigue are discussed. 
Dr.ir. M.A.N. Hendriks/Prof.dr.ir. J.G. Rots
The course focuses on finite element modeling of civil and building engineering structures, both linear and nonlinear. The choice of element types, constitutive models, selection of material parameters, boundary conditions, loading schemes, control procedures and other modeling aspects are discussed and critically reviewd, from a user's point of view. Possibilities, limitations and pitfalls of analysis types and models are treated, in connection to the underlying theory and algorithms.