Vibration analysis of multi-span lattice sandwich beams using the assumed mode method

Zhao, Zhao; Wen, Shurui; Li, Fengming

doi:10.1016/j.compstruct.2017.11.069

Cited by 35 publications

(5 citation statements)

References 32 publications

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“…The turning points are postponed for lower frequencies, which exhibits similar phenomenon to that of Zhao et al. [23]. The reason for this phenomenon is the counterbalance effect between the mass and the stiffness: higher mass makes lower frequency and higher stiffness leads to higher frequency.…”

Section: Numerical Examplessupporting

confidence: 70%

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Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

Guo

Yang

Zhang

2018

Jnl of Sandwich Structures & Materials

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Although single-layer sandwich materials have been extensively studied in the engineering field, multilayered sandwich structures have rarely been concerned, especially on their dynamic analysis or vibration control. In this study, the dynamics of a double-layer hourglass sandwich beam is investigated by an improved method developed to simplify the calculations. The active vibration control is also analyzed. By using Hamilton’s principle, the governing equations are derived and the natural frequencies are calculated by our improved method. The results have been validated by comparing with the data obtained by traditional method, and finite element method. The contributions of both structural and material parameters on the dynamics of the double-layer sandwich beam are also investigated. The velocity feedback control method is employed to act as controllers on vibration suppressing of the sandwich structure actively. Further, nonlinear energy sink is used to control the vibration of the sandwich structure passively.

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Section: Numerical Examplessupporting

confidence: 70%

“…Based on the interpolation functions and assumed mode methods, Zhao et al. [23] performed the dynamic analysis of multi-span sandwich beam with pyramidal and kagome cores, respectively. Zhu et al.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

Guo

Yang

Zhang

2018

Jnl of Sandwich Structures & Materials

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“…By using the Hamilton's principle, Lou et al (2013) studied the dynamic behavior of the lattice core sandwich beam and the influences of the geometric and material parameters. Zhao et al (2018) studied the dynamics of a two-span composite structure with a lattice core on the basis of the assumed mode method in conjunction with interpolation functions. An effective methodology was employed by Guo et al (2017) and Yang et al (2019) to investigate the vibration of composite structures.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Study of the Vibration Dynamics of a 3D-Printed Sandwich Beam With an Hourglass Lattice Truss Core

Guo

Jiang

et al. 2021

Front. Mech. Eng.

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3D printing (also known as additive manufacturing) has been developed for more than 30 years. The applications of 3D printing have been increasingly extended to a variety of engineering fields in recent years. The sandwich material with a high strength and overall low density is a kind of artificial material that has been extensively used in various industrial and daily life applications. This paper presents a comprehensive vibration analysis and passive control technique for a cantilevered sandwich beam with an hourglass lattice truss core fabricated with 3D printing technology. The governing equation of the beam is established by using a homogenized model and the Hamilton's principle, from which the natural frequencies are determined. The theoretical model is verified by the results from the existing literature and the finite element analysis. The frequency response of the sandwich beam measured experimentally further validates the proposed model. Subsequently, a non-linear energy sink (NES) is proposed for being employed to passively suppress the vibration of the sandwich beam. A parametric study based on the theoretical model confirms the viability of using NES to effectively control the vibration of the sandwich beam. This work presents a good demonstration of using 3D printing technology for fabricating sandwich beams with a complicated lattice core. More importantly, some guidelines regarding the dynamic analysis of sandwich beams are provided. In addition, the analytical method presented in this work provides a potential means to theoretically explore the advantages of using sandwich beams for energy harvesting in the future.

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“…Many of the studies in regard to multispan Timoshenko beam have been well documented in the excellent reviews of Yesilce [35][36][37] and his coworkers, who applied the secant method to study the free and forced vibration of multispan beam. According to the assumed mode method, Zhao et al [38,39] illustrated the free vibration solutions of multispan Timoshenko beams, where the vibration mode of the beam was modified by using the interpolation function, and the equations of motion of the structure were established by applying Hamilton's principle. Without any other assumptions, Lin and Tsai [40] performed the exact solutions of the multispan beam with multiple spring-mass systems, where the natural frequencies and corresponding modes were obtained from the differential equations of motion of the structure.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method

Gao

Pang

et al. 2021

Shock and Vibration

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The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method. Next, the artificial spring is used to simulate complex boundaries and continuity condition of multispan beam. Finally, the admissible displacement functions are expanded through Jacobi orthogonal polynomials, and the free and forced vibration characteristics of multispan beam structures can be obtained by using Rayleigh–Ritz method. Results for various boundary conditions, ratios of thickness to length (h/L), numbers, and stiffness of supporting springs are presented. It is clearly shown that accurate solutions can be obtained by using the proposed method, and this study extends the application range of the Jacobi polynomials-Ritz method. In addition, the research results of this paper can provide data support for engineers such as bridge designers to design multispan bridges.

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Vibration analysis of multi-span lattice sandwich beams using the assumed mode method

Cited by 35 publications

References 32 publications

Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

Theoretical and Experimental Study of the Vibration Dynamics of a 3D-Printed Sandwich Beam With an Hourglass Lattice Truss Core

Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method

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