Hencky Bar-Chain/Net for Structural Analysis

As an emerging discrete structural model, the Hencky bar-chain/net model (HBM) has shown its advantages over other numerical methods in some problems. Owing to the discrete properties of HBM, it is also a suitable model for nano-scale structures which are currently a very hot research topic in mechanics.

This book introduces the concepts and previous research of the Hencky bar-chain/net model, before demonstrating how beams, columns, arches, rectangular plates and circular plates could be successfully modelled by HBM. HBM comprises rigid bars connected by frictionless hinges with elastic rotational springs (and a system of torsional springs in the cells for plates). In the treatment of the above-mentioned structures, HBM is found to be mathematically equivalent to the first order central finite difference method (FDM). So HBM may be regarded as the physical structural model behind the FDM.

This book is a compilation of the authors' research on the development of the Hencky bar-chain/net model, and is organized according to the development and application of HBM for beams, columns, frames, arches and rings, and plates. Exercises are provided at the end of each chapter to aid comprehension and guide learning. It is a useful reference for students, researchers, academics and practitioners in the field of structural analysis.
Contents: PrefaceAbout the AuthorsHencky Bar-Chain ModelUniform BeamsNon-Uniform BeamsFramesArches and RingsPlatesIndex
Readership: Senior undergraduate students, graduate students, researchers and practitioners in the field of structural analysis, academics who are teaching courses on structural stability and vibration. Hencky Bar-chain/Net Model (HBM);Structural Analysis;Stability;Buckling;Vibration;Beams;Columns;Frames;Arches;Rings;Plates;Finite Difference Method (FDM);Matrix Structural Analysis (MSA);Energy Approach0Key Features:This book is the first of its kind on the Hencky bar-chain/net model for buckling and vibration analyses of beams, columns, frames, arches, rings and platesThis book contains easy-to-use computer codes for buckling and vibration analysis of beams, frames and funicular archesThis book contains exercises and answers that are useful to academics who are teaching stability and vibration of structures