Harpal Singh

Avhandlingen er tilgjengelig her / The doctoral thesis is available here.

Auditoriet er åpent for publikum. Disputasen vil også bli strømmet. Opptak av disputasen vil være tilgjengelig i en måned.

The auditorium is open to the public. The defense will be streamed. A recording of the defense will be available for one month.

Prøveforelesningen starter kl. 10:15 / The trial lecture starts at 10:15. Tittel / title:

“The role of Fourier analysis in engineering”

Disputasen starter kl. 12:15 / The defense starts at 12:15.

Prøveforelesning og disputas strømmes her / The trial lecture and defense will be streamed here.

Sammendrag av avhandlingen / Summary of the thesis:

The research in this PhD thesis is focused on some problems of general interest in both applied mathematics and engineering sciences. It contains new results, which can be directly used for solving some important structural problems in engineering sciences, but which are also of interest in pure mathematics. The main body of this PhD thesis consists of six papers (Papers A – F).

In Paper A we present and discuss some recent developments concerning operational modal analysis (OMA) techniques, and also give a concrete example where the most popular OMA techniques have been implemented and applied on a steel truss bridge located over the Åby river in Sweden.

In Paper B a basic mathematical model of vibrating structure is presented. We also review and compare some signal processing techniques that are of great importance for OMA and structural health monitoring (SHM) of civil engineering structures. A new application of OMA on a high rise building in Sweden, where some of the most popular OMA techniques are applied is included in this paper.

In Paper C we prove and discuss some new Fourier inequalities in the generalized Lorentz type spaces, and in the important case with unbounded orthogonal systems. The derived results generalize, complement and unify several results in the literature for this general case.

In Paper D we further compliment and develop the results in Paper C. In this paper we also prove and discuss the corresponding Jackson-Nikol’skii type inequalities, still in the important case with unbounded orthonormal systems.

In Paper E we discuss some signal processing problems in a Bayesian framework and semi-group theory in the general case with non-separable function spaces. In particular, this is done for the case of an abstract Cauchy problem, with initial data in a non-separable Morrey space.

In Paper F we present a brief description of the Hålogaland suspension bridge, along with some challenges which have already appeared. Moreover, the problems and challenges which have appeared in a number of bridges of this type in the past are also reported on and discussed. The aim of this Paper is that it can serve as a basis for our planned future research concerning SHM of this bridge.

These new results are put into a more general frame in an introduction, where, in particular, some important information and challenges connected to the Hålogaland bridge in Narvik are discussed in the light of this frame.

Veiledere / Supervisors:

Hovedveileder / Main supervisor:

Professor Per Johan Nicklasson, Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway.

Medveiledere / Co-supervisors:

Professor Dag Lukkassen, Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway,

Professor Lars-Erik Persson, Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway.

Bedømmelseskomité / Evaluation committee:

Professor Luboš Pick, Faculty of Mathematics and Physics, Charles University (first opponent),

Associate professor Eva Kaslik, Faculty of Mathematics and Computer Science, West University of Timișoara (second opponent),

Associate professor Rune Dalmo, UiT The Arctic University of Norway (administrator of the committee).

Prøveforelesning og disputas ledes av prodekan for forskning, Svein-Erik Sveen / The trial lecture and defense is led by Vice Dean of research, Svein-Erik Sveen. 

De som ønsker å opponere ex auditorio kan sende e-post til Svein-Erik Sveen / Opponents ex auditorio should contact Svein-Erik Sveen.