{"title":"Impact of a porous structure in mitigating wave effect on a floating elastic plate in a two-layer fluid","authors":"Koushik Kanti Barman, Swaroop Nandan Bora","doi":"10.1007/s00419-023-02475-4","DOIUrl":"10.1007/s00419-023-02475-4","url":null,"abstract":"<div><p>The interaction of oblique waves with a porous structure placed in front of a floating elastic plate, which is an idealization of a very large floating structure in a two-layer fluid, is examined in the context of linear water wave theory. The porous structure, treated as a breakwater, is placed at a finite distance from the floating elastic plate to mitigate the hydrodynamic response of the elastic plate. To address the associated boundary value problem, matched eigenfunction expansion method is employed. The solution is computed, and the impact of the porous structure on the hydrodynamic coefficients associated with the floating plate such as deflection of the plate, bending moment, shear force, mooring line effect, wave scattering and trapping is graphically illustrated. The suitable physical properties for ideal plate characteristics are shown by a comparison of various edge conditions. It is recommended that an appropriate breakwater width maximizes wave reflection and minimizes transmission. Waveload on the plate gets reduced by appropriate parameter values connected with the porous breakwater. The findings of this study are expected to have an effect on how marine infrastructures are to be designed to mitigate wave force.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"4009 - 4029"},"PeriodicalIF":2.8,"publicationDate":"2023-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bending analysis of functionally graded sandwich beams with general boundary conditions using a modified Fourier series method","authors":"Yu Pu, Shuming Jia, Yang Luo, Shuanhu Shi","doi":"10.1007/s00419-023-02474-5","DOIUrl":"10.1007/s00419-023-02474-5","url":null,"abstract":"<div><p>A modified Fourier method and six-parameter constrained model are employed to investigate the static bending characteristics of functionally graded sandwich beams under classical and non-classical boundary conditions based on the first-order shear deformation theory. Three types of sandwich beams including isotropic hardcore, functionally graded core, and isotropic softcore are considered. The effective material properties of functionally graded materials are assumed to vary according to power law distribution of volume fraction of constituents by Voigt model. The governing equations and boundary conditions are derived from the principle of minimum potential energy and are solved using the modified Fourier series method which includes the standard Fourier cosine series together with two auxiliary polynomials terms. The high convergence rate, availability and accuracy of the formulation are verified by comparisons with results of other methods. Moreover, numerous new bending results for functionally graded sandwich beams with general boundary conditions are presented. The significant effects of various boundary conditions, different types of sandwich beams, power-law index, span-to-height ratio and skin–core-skin thickness ratio on the displacements, axial stresses, and shear stresses of the sandwich beams with symmetrical and unsymmetrical forms are also investigated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3741 - 3760"},"PeriodicalIF":2.8,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4389935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of multiple pendulum system under a translating and tilting pivot","authors":"Aditya Bondada, Vishnu G. Nair","doi":"10.1007/s00419-023-02473-6","DOIUrl":"10.1007/s00419-023-02473-6","url":null,"abstract":"<div><p>In this article, we study the dynamics of multiple pendulum systems under translation and tilt. The main application considered for such systems is inertial sensing for high-precision instrumentation. To emulate the translating multiple pendulum system, we attach the pivot point of the pendulum to a cart that is free to move in the horizontal plane. Similarly, the pivot point of the tilting pendulum system is attached to a platform that rotates, enabling tilting motion for the system. First, we approach the problem from a Lagrangian dynamics perspective for a double-pendulum system under translation and tilt and then extend the solutions to a system of <i>n</i> pendulums, each hanging one below the other. Then, the natural frequencies of the systems are derived. The behavior of the systems under translation and tilt is studied and compared with that of fixed pivot point multiple pendulum systems, using eigenvalue analysis to understand how the natural frequency fluctuates with changes in degrees of freedom, mass, length and stiffness.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3699 - 3740"},"PeriodicalIF":2.8,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02473-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4306738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A novel analytical model for evaluating the time-varying meshing stiffness of helical gears under irregular pitting failure","authors":"Zong Meng, Xiushen Pang, Guoqing Hao, Yesen Jin, Jimeng Li, Fengjie Fan","doi":"10.1007/s00419-023-02460-x","DOIUrl":"10.1007/s00419-023-02460-x","url":null,"abstract":"<div><p>Helical gear teeth are subject to spalling, pitting and other failures under prolonged operation, which can contribute to a reduction in the time-varying meshing stiffness (TVMS) of the gear. The shape of the depression formed by the absence of the gear tooth surface is irregular in practice. Firstly, an irregular-shaped pitting model is constructed by the slicing method. On the premise of improving the transition curve, the TVMS calculation equations under the irregular pitting model are derived considering the effect of axial stiffness. Then, a randomly distributed tooth surface pitting evolution model was established by the random pitting generation function, and the effects of three different failure degrees from slight to severe pitting on the TVMS are evaluated. Eventually, the faulty helical gear pairs are constructed in Solidworks and simulated by the finite element method (FEM), verifying that the irregular pitting evolution model and calculation method proposed in this paper are effective.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3775 - 3795"},"PeriodicalIF":2.8,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yusry O. El-Dib, Nasser S. Elgazery, Haifa A. Alyousef
{"title":"Galerkin’s method to solve a fractional time-delayed jerk oscillator","authors":"Yusry O. El-Dib, Nasser S. Elgazery, Haifa A. Alyousef","doi":"10.1007/s00419-023-02455-8","DOIUrl":"10.1007/s00419-023-02455-8","url":null,"abstract":"<div><p>An immediate analytic solution for the time-delayed fractional linear jerk oscillator is derived in the present study. The currently used method adheres to basic, easily implementable criteria. This proposed approach is based on transforming the time-delayed fractional oscillator to an equivalent oscillator with ordinary derivatives, which makes the solution procedure simple. The conversion process steps to an equivalent ordinary differential oscillator are displayed. Galerkin’s method is used to derive the jerk frequency. The good match between the analytic and numerical outcomes shows that the equivalent linearized mechanism leads to finding a satisfying and accurate solution. Stability discussion is conducted analytically and numerically.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3597 - 3607"},"PeriodicalIF":2.8,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5156821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A method to accurately define arbitrary algorithmic damping character as viscous damping","authors":"Dániel Serfőző, Balázs Pere","doi":"10.1007/s00419-023-02454-9","DOIUrl":"10.1007/s00419-023-02454-9","url":null,"abstract":"<div><p>Undesired oscillations often emerge in numerical solutions, especially in the case of dynamic problems. These are mainly spurious oscillations which must be eliminated or reduced at least to provide accurate results. Numerical methods with damping effect are especially useful to achieve this goal. However, the concrete shape of the damping characteristics has a great impact on the effectiveness. Dissipative numerical methods mostly have a specific damping character with very limited alteration possibility. In this article, a novel numerical method has been introduced where the dissipative effect is exerted via viscous damping. Using the proposed method, a great variety of damping curves can be defined accurately, straight through the determination of the algorithmic damping ratio. The newly developed technique is mainly useful for applications where the shape of the damping characteristics significantly affects the accuracy.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3581 - 3595"},"PeriodicalIF":2.8,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02454-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5558379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jonas Kneifl, David Rosin, Okan Avci, Oliver Röhrle, Jörg Fehr
{"title":"Low-dimensional data-based surrogate model of a continuum-mechanical musculoskeletal system based on non-intrusive model order reduction","authors":"Jonas Kneifl, David Rosin, Okan Avci, Oliver Röhrle, Jörg Fehr","doi":"10.1007/s00419-023-02458-5","DOIUrl":"10.1007/s00419-023-02458-5","url":null,"abstract":"<div><p>Over the last decades, computer modeling has evolved from a supporting tool for engineering prototype design to an ubiquitous instrument in non-traditional fields such as medical rehabilitation. This area comes with unique challenges, e.g. the complex modeling of soft tissue or the analysis of musculoskeletal systems. Conventional modeling approaches like the finite element (FE) method are computationally costly when dealing with such models, limiting their usability for real-time simulation or deployment on low-end hardware, if the model at hand cannot be simplified without losing its expressiveness. Non-traditional approaches such as surrogate modeling using data-driven model order reduction are used to make complex high-fidelity models more widely available regardless. They often involve a dimensionality reduction step, in which the high-dimensional system state is transformed onto a low-dimensional subspace or manifold, and a regression approach to capture the reduced system behavior. While most publications focus on one dimensionality reduction, such as principal component analysis (PCA) (linear) or autoencoder (nonlinear), we consider and compare PCA, kernel PCA, autoencoders, as well as variational autoencoders for the approximation of a continuum-mechanical system. In detail, we demonstrate the benefits of the surrogate modeling approach on a complex musculoskeletal system of a human upper-arm with severe nonlinearities and physiological geometry. We consider both, the model’s deformation and the internal stress as the two main quantities of interest in a FE context. By doing so we are able to create computationally low-cost surrogate models which capture the system behavior with high approximation quality and fast evaluations.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3637 - 3663"},"PeriodicalIF":2.8,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02458-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5092001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"In the ability to extend Hashin criterion for mixed mode I/II fracture assessment of cracked orthotropic materials","authors":"Mahdi Fakoor, Alireza Vazirinejad, Zahra Daneshjoo","doi":"10.1007/s00419-023-02465-6","DOIUrl":"10.1007/s00419-023-02465-6","url":null,"abstract":"<div><p>The problem of fracture assessment of orthotropic materials under mixed mode I/II loading is investigated in this study. The Hashin criterion, which is widely used to study the failure of composite materials, is extended to cracked orthotropic materials. The crack is assumed to grow along the fibers and in the isotropic matrix media. Hashin criterion as a well-known formulation for failure investigation of composites is extended to cracked orthotropic materials with two different approaches. As a first approach, the orthotropic stress field around the crack tip is considered for extraction of the extended Hashin criterion (EHC). In the next one, Hashin criterion is considered in conjunction with the reinforcement isotropic solid (RIS) concept as a superior material model named here as HC-RIS. Accuracy of the results is evaluated by comparing the fracture limit curves extracted from EHC and HC-RIS with the available experimental data which have been extracted from double cantilever beam (DCB) and single edge notched tension (SENT) test specimens on Scots pine, Eastern red spruce and Norway spruce.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3851 - 3862"},"PeriodicalIF":2.8,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yingli Li, Ahmed Opeyemi Jamiu, Muhammad Zahradeen Tijjani
{"title":"Elastic wave propagation and vibration characteristics of diamond-shaped metastructures","authors":"Yingli Li, Ahmed Opeyemi Jamiu, Muhammad Zahradeen Tijjani","doi":"10.1007/s00419-023-02468-3","DOIUrl":"10.1007/s00419-023-02468-3","url":null,"abstract":"<div><p>In this work, the elastic wave propagation behavior of the proposed diamond-shaped metastructure is investigated analytically based on the 8 degrees of freedom mass-spring discretized structure and numerically by finite element method (FEM), and an experiment was carried out with the 3D printed specimen. Analytically, the dispersion relation of the metastructure is derived based on Bloch’s theorem, and the transmittance of the metastructure with finite periods is investigated. Also, the extreme cases of the lattice structure parameters, such as the stiffness and mass, are investigated to examine different configuration effects. When the inner spring’s stiffness tends to infinity or infinitesimal, which is the rigid connection or string connection, it opens a lower boundary of 6.26 Hz with infinitesimal stiffness. Then cases with some specific masses tending to infinity or infinitesimal, representing fixed or missing mass, are discussed, which opens a lower boundary of 19.9 Hz with the largest mass. Also, tuning the FEM model parameters opens lower bandgaps, where a similar trend can be observed from the theoretical and simulation studies. Finally, the frequency response of the finite element solution is validated by conducting a vibration experiment on the 3D printed specimen, and a good agreement can be observed. The proposed metastructure can be utilized in the design of vibration isolators.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3921 - 3946"},"PeriodicalIF":2.8,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}