{"title":"Correction to: 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/s00419-023-02483-4","DOIUrl":"10.1007/s00419-023-02483-4","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3761 - 3761"},"PeriodicalIF":2.8,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4681204","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":"Correction to: BIEM via graded piezoelectric half-plane Green’s function for wave scattering by curvilinear cracks","authors":"Tsviatko Rangelov, Petia Dineva","doi":"10.1007/s00419-023-02478-1","DOIUrl":"10.1007/s00419-023-02478-1","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3697 - 3697"},"PeriodicalIF":2.8,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5083007","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":"Vibration characteristics analysis of anisotropic metal rubber medium-thick cylindrical shells","authors":"Yan Bai, He Li","doi":"10.1007/s00419-023-02453-w","DOIUrl":"10.1007/s00419-023-02453-w","url":null,"abstract":"<div><p>This paper is to analyze the vibration characteristics of a metal rubber medium-thick cylindrical shell (MR-MTCS) influenced by material anisotropy. The parameters of the metal rubber (MR) are determined by the inclined helix-pyramid model (IHPM). The control equations for MR-MTCS are determined by first-order shear deformation theory (FSDT) and Rayleigh–Ritz method. The results show that the anisotropy of MR has a significant effect on the vibration characteristics of MR-MTCS. Among them, the anisotropy of Young's modulus has the most significant effect on the vibration characteristics. In addition, the effect of MR anisotropy on the vibration characteristics of MR-MTCS increases with the increase of axial half-wave number <i>m</i> and decreases with the increase of axial wave number <i>n</i>.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3553 - 3579"},"PeriodicalIF":2.8,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5477498","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":"Mechanical response model with core loss of microcapsules under uniaxial compression and its parameters analysis","authors":"Hua Huang, Huiyang Huang, Ruotong Wang, Yaqiong Fan, Runlan Guo","doi":"10.1007/s00419-023-02457-6","DOIUrl":"10.1007/s00419-023-02457-6","url":null,"abstract":"<div><p>Microcapsules are widely used in various fields. However, there is no way to predict the mechanical response of microcapsules accurately. To address this problem, the improved Reissner theory and the Tatara theory are employed to establish the mechanical response models of the capsule shell and the capsule core, respectively. Moreover, the capsule core loss, which is always neglected in prior study, is obtained through the mass ratio of the capsule core. Therefore, a universal and effective mechanical response model with microcapsule characteristics is developed. In addition, a set of orthogonal tests are designed based on the mechanical response model to analyze the contributions of the microcapsule components to the mechanical response. The results show that: (1) the proposed microcapsule mechanical response model has prediction errors of less than 30% for various types of microcapsule mechanical response results, and the gray correlation degree of the prediction trend is above 0.6. Compared to traditional models that can only predict trends, with an error rate of 400%, the proposed model has an improvement; (2) the loss of core is inevitable, and the three microcapsules in the study all have a core loss volume of 10–30%; (3) when the strain is large, the mechanical response of overall microcapsules is determined by the size and core of microcapsules. The results provide a theoretical basis for designing the microcapsules.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3625 - 3636"},"PeriodicalIF":2.8,"publicationDate":"2023-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4650995","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}
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}