Dynamic Stiffness and Substructures models a complex dynamic system and offers a solution to the advanced dynamical problem associated with the effects of wind and earthquakes on structures. Since the system matrices are inevitably frequency dependant, those are exclusively considered in this publication. The relation between the frequency matrices by the Leung's theorem is most important in the development of efficient algorithms for the natural modes. This new approach was developed by the author over the past 15 years. It offers practising engineers and researchers a wide choice for structural modelling and analysis. Abundant numerical examples enable the reader to understand the theorem and to apply the methods.
For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.
Memories are still vivid on the incident: on 29 January 2010, a five-storey building at 45J Ma Tau Wai Road, To Kwa Wan, Hong Kong collapsed, causing four deaths and two injuries. The tragedy has raised public concerns about the safety of many of Hong Kong's old and dilapidated buildings. Realising that the presence of ageing buildings lacking proper care and maintenance poses potential threats to residents and the public at large, since 2012, the Buildings Department has implemented the Mandatory Building Inspection Scheme (MBIS) to carry out inspection and rectification works for buildings aged 30 years or above. This book, as a pioneer to review and examine the statistics and distributions of the aged buildings in Hong Kong, provides critical insights on the building decay and neglect problems. The statistical information highlighted in the book also serves to project the estimated number of aged buildings to be covered by the MBIS in the future, and the demand of professional workforce expected for the successful implementation of MBIS. The book is useful for the practising professionals in the building industry, such as surveyors, engineers and government officials. It is also an excellent reference for students and researchers in Surveying, Construction Management and related disciplines.
Memories are still vivid on the incident: on 29 January 2010, a five-storey building at 45J Ma Tau Wai Road, To Kwa Wan, Hong Kong collapsed, causing four deaths and two injuries. The tragedy has raised public concerns about the safety of many of Hong Kong's old and dilapidated buildings. Realising that the presence of ageing buildings lacking proper care and maintenance poses potential threats to residents and the public at large, since 2012, the Buildings Department has implemented the Mandatory Building Inspection Scheme (MBIS) to carry out inspection and rectification works for buildings aged 30 years or above. This book, as a pioneer to review and examine the statistics and distributions of the aged buildings in Hong Kong, provides critical insights on the building decay and neglect problems. The statistical information highlighted in the book also serves to project the estimated number of aged buildings to be covered by the MBIS in the future, and the demand of professional workforce expected for the successful implementation of MBIS. The book is useful for the practising professionals in the building industry, such as surveyors, engineers and government officials. It is also an excellent reference for students and researchers in Surveying, Construction Management and related disciplines.
Dynamic Stiffness and Substructures models a complex dynamic system and offers a solution to the advanced dynamical problem associated with the effects of wind and earthquakes on structures. Since the system matrices are inevitably frequency dependant, those are exclusively considered in this publication. The relation between the frequency matrices by the Leung's theorem is most important in the development of efficient algorithms for the natural modes. This new approach was developed by the author over the past 15 years. It offers practising engineers and researchers a wide choice for structural modelling and analysis. Abundant numerical examples enable the reader to understand the theorem and to apply the methods.
For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.
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