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Applied Mechanics
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Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd...
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Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition)

A special issue of Applied Mechanics (ISSN 2673-3161).

Deadline for manuscript submissions: 30 September 2025 | Viewed by 4723

Special Issue Editor

Dr. César Vasques

E-Mail Website
Guest Editor
Department of Mechanical Engineering, University of Aveiro, 3810-193 Aveiro, Portugal
Interests: dynamics; vibration and damping; smart materials and structures; computational and experimental mechanics; mechatronics and structural control; structural acoustics; impact and wave propagation; structural health monitoring; composite structures; machine design; 3D printing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue ensues from the Special Issue entitled "Mechanical Design Technologies for Beam, Plate and Shell Structures (2nd Volume)" (https://www.mdpi.com/journal/applmech/special_issues/S96V3166RC), published in Applied Mechanics.

This Special Issue will collate theoretical studies and applied works on state-of-the-art computational modeling and experimental techniques used in the mechanical design of general structural engineering systems embodying beam, plate, and shell structural elements. We welcome papers detailing advances in fundamental theories, approximation methods, computational techniques, and experimental testing technologies, and those addressing modern trends and complicating effects, such as complex shapes, multi-layered structures, lattice designs, material anisotropy, structural damping treatments, smart structures, 3D-printed parts and structures, or more complicated points of analysis (such as non-linear material and geometric behaviors, multi-scale approaches, dynamic analyses, and multi-physics design activities).

Dr. César M. A. Vasques
Guest Editor

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • beam
  • plate
  • shell
  • computational methods
  • experimental techniques
  • complicating effects
  • structural analysis
  • mechanical design
  • 3D-printed structures

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Published Papers (6 papers)

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Research

28 pages, 7377 KiB  
Article
An Analytical Solution for Natural Frequencies of Elastically Supported Stepped Beams with Rigid Segments
by Ferid Kostekci
Appl. Mech. 2025, 6(1), 12; https://doi.org/10.3390/applmech6010012 - 9 Feb 2025
Viewed by 328
Abstract
In this work, an analytical solution for the natural frequencies of elastically supported stepped beams with rigid segments is presented. The elastic end boundary conditions are modeled with a translational stiffness element, a rotational stiffness element, and an end-concentrated mass. This model is [...] Read more.
In this work, an analytical solution for the natural frequencies of elastically supported stepped beams with rigid segments is presented. The elastic end boundary conditions are modeled with a translational stiffness element, a rotational stiffness element, and an end-concentrated mass. This model is of great significance in machine construction studies. Under the assumption of Euler–Bernoulli beam theory, the non-dimensional equations of the motion and main equations that can give all of the boundary conditions were obtained by using Hamilton’s principle. After deriving the transverse displacement functions by means of using the separation-of-variables technique, the frequency equation was found by setting the determinant of the coefficient matrix to zero. The natural frequencies of the transverse vibrations were found according to physical and geometric parameters. The method was validated by using FEM results and findings from the literature. This study indicates that the physical and geometric parameters of the elastic supports and rigid segments affect the natural frequencies of the beam. The revealed analytical method can be used to calculate the natural frequencies and mode shapes of all beam types, such as elastically supported uniform beams and single-step beams with or without concentrated mass and/or rigid segments. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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13 pages, 525 KiB  
Article
The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
by Maria Anna De Rosa, Carla Ceraldi, Hector D. Martin, Antonella Onorato, Marcelo Tulio Piovan and Maria Lippiello
Appl. Mech. 2025, 6(1), 11; https://doi.org/10.3390/applmech6010011 - 7 Feb 2025
Viewed by 344
Abstract
In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated [...] Read more.
In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated Timoshenko theory (TTT), the governing equations of motion of the cracked beam are derived and the influence of a mass on the behavior of free vibrations is investigated. The novelty of the proposed approach lies in the fact that the variational method used in the truncated theory simplifies the derivation of the equation of motion via the classical theory, and the perfect analogy between the two theories is shown. The objective of the present formulation lies in finding the equations of the truncated Timoshenko model with their corresponding boundary conditions and establishing their mathematical similarity with the geometric approach. It is shown that the differential equations with their corresponding boundary conditions, used to solve the dynamic problem of Timoshenko truncated beams through variational formulations, have the same form as those obtained through the direct method. Finally, some numerical examples are carried out to evaluate the influence of a mass and its position on the vibration performances of the cracked Timoshenko model. Additionally, the effects of the crack positions, the shear deformation and rotational inertia, and the yielding constraints on the natural frequencies are also discussed in some numerical examples. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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20 pages, 12615 KiB  
Article
Design Considerations for a Compressed Stiffened Plate with Skin–Stringer Debonding Based on the Evaluation of Adhesive Layer Stress Distribution
by Giacomo Frulla and Giovanni Parente
Appl. Mech. 2025, 6(1), 7; https://doi.org/10.3390/applmech6010007 - 30 Jan 2025
Viewed by 574
Abstract
An extensive application of stiffened panels is considered standard for aerospace wing construction both for reducing the structural weight and fulfilling the regulatory requirements. The connection based on the adhesive layer between the skin and stringer introduces the possibility of debonding during operative [...] Read more.
An extensive application of stiffened panels is considered standard for aerospace wing construction both for reducing the structural weight and fulfilling the regulatory requirements. The connection based on the adhesive layer between the skin and stringer introduces the possibility of debonding during operative conditions. The design procedure is strongly influenced by this anomaly, requiring the definition of a criterion for identifying the limit in debonding extension for safe operation. A procedure based on the investigation of the stress state in the adhesive layer is proposed in order to identify the typical behaviour of compressed plate, including damage situation, and a specific indication for design procedure is derived based on the debonding dimension. Critical and post-critical configuration were investigated both globally and locally to fix sensitive parameters. A conclusive guideline is discussed and presented. The analysis is applied to an isotropic plate in order to point out the main characteristics of the related design procedure. No conceptual changes are expected with the introduction of composite material that can influence the distribution of stress according to the chosen lay-up but not the basic design concept in the plate behaviour. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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21 pages, 5296 KiB  
Article
Numerical Model for Studying the Properties of a New Friction Damper Developed Based on the Shell with a Helical Cut
by Andrii Velychkovych, Vasyl Mykhailiuk and Andriy Andrusyak
Appl. Mech. 2025, 6(1), 1; https://doi.org/10.3390/applmech6010001 - 2 Jan 2025
Viewed by 878
Abstract
Friction dampers based on the effects of dry friction are attractive to engineers because of their simple design, low manufacturing and maintenance costs, and high efficiency under heavy loads. This study proposes a new damper design based on an open shell with a [...] Read more.
Friction dampers based on the effects of dry friction are attractive to engineers because of their simple design, low manufacturing and maintenance costs, and high efficiency under heavy loads. This study proposes a new damper design based on an open shell with a deformable filler, with the shell cut along a cylindrical helical line. The key idea in developing the design was to use the bending effect of the shell in contact with the weakly compressible filler. Another idea was to use the frictional interaction between the filler and the open shell to obtain the required damping characteristics. The working hypothesis of this study was that, ceteris paribus, a change in the configuration of the shell cut would cause a change in the stiffness of the structure. To analyse the performance characteristics of the proposed damper and test the hypothesis put forward, a numerical model of the shell damper was built, and a boundary value problem was formulated and solved for the frictional interaction between the shell cut along the helical line and the weakly compressible filler, taking into account the dry friction forces between them. As a result, the strength, stiffness, and damping properties of the developed damper were investigated, and a comparative analysis of the new design with the prototype was carried out. It is predicted that the proposed friction damper will be used in the energy and construction industries, in particular in drilling shock absorbers for the oil and geothermal industries, as well as in earthquake-resistant structures. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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26 pages, 8089 KiB  
Article
Seismic and Post-Seismic Ductility and Forces of Mid-Story Pin Moment-Resisting Frames Based on Scale of Local Deformation of I-Beam’s Segments
by Atsushi Suzuki, Ruiyu Che and Yoshihiro Kimura
Appl. Mech. 2024, 5(4), 938-963; https://doi.org/10.3390/applmech5040052 - 4 Dec 2024
Viewed by 760
Abstract
A mid-story pin system to avoid moment-resisting frame column failure during seismic action was proposed recently. The solution consists of a reinforced concrete (RC) pier protruding from the foundations, the steel column connected with the superstructure, and plates and the anchor bolt working [...] Read more.
A mid-story pin system to avoid moment-resisting frame column failure during seismic action was proposed recently. The solution consists of a reinforced concrete (RC) pier protruding from the foundations, the steel column connected with the superstructure, and plates and the anchor bolt working as a pinned connection in between. This paper utilizes shell finite element analysis (FEA) models to examine the demanded column-to-beam strength ratio to keep the column elastic and maximize the story drift at the moment of beam buckling of the frame. The method of calculating post-seismic residual strength based on maximal buckling deformation of the beam is also proposed. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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21 pages, 15765 KiB  
Article
Improvement of Stockbridge Damper Design for Cable-Stayed Bridges
by Adél Olosz, Balázs Kövesdi, Péter Hegyi and László Dunai
Appl. Mech. 2024, 5(4), 818-838; https://doi.org/10.3390/applmech5040046 - 12 Nov 2024
Viewed by 898
Abstract
Stockbridge dampers are widely used to mitigate the vibrations of cable-stayed bridges and of many other cable-suspended or cable structures exposed to the action of pedestrians, traffic or wind load. Within the current research work, one of the most effective and likely used [...] Read more.
Stockbridge dampers are widely used to mitigate the vibrations of cable-stayed bridges and of many other cable-suspended or cable structures exposed to the action of pedestrians, traffic or wind load. Within the current research work, one of the most effective and likely used damper types, the Stockbridge damper, was investigated to support its design and application within the daily engineering praxis. The Stockbridge damper has a relatively simple structural layout, which ensures its modular design allows it to easily adapt the damper to cables having different dynamic properties (eigenfrequencies, mass, etc.). This paper focuses on two main research areas: (i) to understand the static and dynamic behaviour of the damper and the stay cable interaction to investigate the effectiveness of its damping; (ii) to study the sensitivity of the natural frequencies of the damper to the design parameters. The final aim of the research is to develop a simple design method that is easy to apply in engineering practice and allows the efficient adaptation of the Stockbridge damper to different cable-stayed bridges. Key findings include the recommendation to position the damper at approximately 20% of the cable length for optimal attenuation, the importance of detuning to maintain effectiveness under varying cable forces, and the observation that increasing the damper mass improves efficiency, particularly for detuned elements. Full article
(This article belongs to the Special Issue Mechanical Design Technologies for Beam, Plate and Shell Structures (3rd Edition))
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