TY - CHAP
T1 - Utilizing Rayleigh–Ritz technique to identify damages of multi span beams
AU - Daneshvar, Mohammad Hassan
AU - Gharighoran, Ali Reza
AU - Zareei, Seyed Reza
AU - Jahangir, Hashem
AU - Rashidi, Maria
PY - 2025
Y1 - 2025
N2 - In this paper, a novel technique for identifying the location and the severity of damage in multi-spans beams and “beam and column” is proposed, which has an ability to reveal the structural damage with any type of support conditions. The proposed method is an expanded version of the finite element method (FE) by the assistance of the Ritz method which is called Ritz Damage Detection Method (RDDM). The innovation of the proposed method in this paper is the omission of some limitations of the RDDM method, including unique support conditions, and applying the effects of “beam and column”. In this paper, by using the shape function, the definition of support conditions as a spring, and entering the interaction effect of “beam and column”, the equations of RDDM method are developed to provide possible damage detection of the bridges with all support conditions. Also, singular value decomposition (SVD) method is used to determine the quantity and the severity of the damage, which is sensitive to dynamic characteristics changes, originated from the damage. The efficiency and capability of the proposed method for damage detection are evaluated by a numerical sample of “a multi-span beam” and “beam to column connections. The investigation results showed that the proposed damage detection method has the ability to identify the location and the severity of the damages.
AB - In this paper, a novel technique for identifying the location and the severity of damage in multi-spans beams and “beam and column” is proposed, which has an ability to reveal the structural damage with any type of support conditions. The proposed method is an expanded version of the finite element method (FE) by the assistance of the Ritz method which is called Ritz Damage Detection Method (RDDM). The innovation of the proposed method in this paper is the omission of some limitations of the RDDM method, including unique support conditions, and applying the effects of “beam and column”. In this paper, by using the shape function, the definition of support conditions as a spring, and entering the interaction effect of “beam and column”, the equations of RDDM method are developed to provide possible damage detection of the bridges with all support conditions. Also, singular value decomposition (SVD) method is used to determine the quantity and the severity of the damage, which is sensitive to dynamic characteristics changes, originated from the damage. The efficiency and capability of the proposed method for damage detection are evaluated by a numerical sample of “a multi-span beam” and “beam to column connections. The investigation results showed that the proposed damage detection method has the ability to identify the location and the severity of the damages.
KW - Damage indentification
KW - Finite element method
KW - Multi span beams
KW - Rayleigh–Ritz technique
UR - http://www.scopus.com/inward/record.url?scp=105001318393&partnerID=8YFLogxK
UR - https://go.openathens.net/redirector/westernsydney.edu.au?url=https://doi.org/10.1007/978-981-97-8975-7_7
U2 - 10.1007/978-981-97-8975-7_7
DO - 10.1007/978-981-97-8975-7_7
M3 - Chapter
AN - SCOPUS:105001318393
SN - 9789819789740
T3 - Springer Tracts in Civil Engineering
SP - 199
EP - 206
BT - Damage Detection and Structural Health Monitoring of Concrete and Masonry Structures: Novel Techniques and Applications
A2 - Jahangir, Hashem
A2 - Arora, Harish Chandra
A2 - Dos Santos, José Viriato Araújo
A2 - Kumar, Krishna
A2 - Kumar, Aman
A2 - Kapoor, Nishant Raj
PB - Springer
CY - Singapore
ER -