A basic hybrid finite element formulation for mid-frequency analysis of beams connected at an arbitrary angle |
| |
| Institution: | 1. Cardiology Service, Hospital Universitari Germans Trias i Pujol, Barcelona, Spain;2. Department of Medicine, Universitat Autònoma de Barcelona, Barcelona, Spain;3. Heart Failure Center Fuwai Hospital, National Center for Cardiovascular Diseases, Chinese Academy of Medical Sciences and Peking Union Medical College, Beijing, China;4. Cardiovascular Institute, Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania;5. Center for Clinical Epidemiology and Biostatistics, Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania;1. Department of Physics and Astrophysics, University of Delhi, Delhi, India;2. Department of Physics, Hindu College, University of Delhi, Delhi, India;3. Department of Physics, Maitreyi College, University of Delhi, Delhi, India;1. EISLAB, Luleå University of Technology (LTU), 97187, Luleå, Sweden;2. Research and Technology Development, SKF, 97775, Luleå, Sweden;3. Div. of Machine Elements, Luleå University of Technology (LTU), 97187, Luleå, Sweden;4. SKF-LTU University Technology Center, 97187, Luleå, Sweden;1. Department of Structural Mechanics, Faculty of Civil Engineering, Environmental and Geodetic Sciences, Koszalin University of Technology, ul. Sniadeckich 2, 75-453 Koszalin, Poland;2. Institute of Materials and Structures, Riga Technical University, Kalku Street 1, LV-1658 Riga, Latvia;1. Department of Structures for Engineering and Architecture, University of Naples Federico II, via Claudio 21, 80125 Naples, Italy;2. Department of Civil and Mechanical Engineering, University of Cassino and Southern Lazio, via G. Di Biasio 43, 03043 Cassino, FR, Italy |
| |
| Abstract: | When beams are connected at an arbitrary angle and subjected to an external excitation, both longitudinal and bending waves are generated in the system. Since longitudinal wavelengths are considerably longer than bending wavelengths in the mid-frequency region, the number of bending wavelengths in the beams is considerably larger than the number of longitudinal wavelengths. In this paper, plannar beams connected at arbitrary angles are considered. The energy finite element analysis (EFEA) is employed for modelling the bending behavior of the beams and the conventional finite element analysis (FEA) is utilized for modelling the longitudinal vibration in the beams. Thus, a basic hybrid FEA formulation is presented for mid-frequency analysis of systems that contain two types of energy. The bending vibration is associated with the long members in the system and the longitudinal vibration is associated with the short members. The long members are considered to have high modal overlap and to contain several wavelengths within their dimension, and uncertainty effects are present. The short members contain a small number of wavelengths, and exhibit a low modal overlap. Due to the low modal overlap the resonant frequencies are spaced far apart in the frequency domain, therefore the short members exhibit resonant or non-resonant behavior depending on the frequency of the excitation.In this work, the bending and the longitudinal vibration within the same beam member are treated as a long and as a short member, respectively. A hybrid joint formulation is developed between long and short members. Power reflection and transmission coefficients are derived for each joint. The distribution of the energy throughout the system demonstrates a strong dependency on the power transfer coefficients. Several systems are analyzed by the hybrid FEA and by analytical solutions, and good correlation between them is observed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
