{'fraction_non_alphanumeric': 0.012801204819277108, 'fraction_numerical': 0.0, 'mean_word_length': 5.358851674641149, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Vibration Characteristic of a Transition Constrained Damping Beam Based on the Shear Dissipating Energy Assumption

Adding a “transition layer” could further improve the dissipation ability of the original constrained damping structure to the external vibration. At the same time, the addition of the transition layer brings many difficulties in
establishing the model and acquiring the relevant characteristics of the• structure. Based on the shear dissipating
energy assumption and the Hamilton principle, the finite element model of the transition constrained damping
beam is established. On the basis of this reasonable assumption, the whole derivation process is simplified and
easy to read by regularizing the element stiffness and mass matrix, and the expression of loss factor and natural
frequency of damping beam is obtained. In order to verify the correctness of the model, the computed results are
compared with the analytical solution, and both are found to be in good agreement. Taking the cantilever damping
beam as an example, the influence of the material choice of the transition layer and the structural parameters on
the natural frequency and the loss factor of the structure are discussed. The results of this paper would lay a good
foundation for further optimization and practical engineering application.