“…ÞdA and η is the damping coefficient of the FGM beam. And the correction parameters are given by χ ¼ 0:2 (Zheng et al, 2021). Furthermore, the damping force provided by NiTi-ST can be written as follows:…”
Section: Mechanical Modelmentioning
confidence: 99%
“…The system is composed of a functionally graded material (FGM) beam with a length, width, and height of L, B, and H, respectively, coupled with a NiTi–ST damper. The left side of the beam is constrained as the fixed end, whereas the right end of the pipe is supported by a linear spring (Zang et al, 2021; Zheng et al, 2021a). Figure 1.System diagrammatic drawing.…”
Section: Mechanical Modelmentioning
confidence: 99%
“…Their variational terms can be expressed as follows:where (I0,I1,I2)=∫−H/2H/2ρ(z)(1,(z−z0),(z−z0)2)dA and η is the damping coefficient of the FGM beam. And the correction parameters are given by χ=0.2 (Zheng et al, 2021). Furthermore, the damping force provided by NiTi–ST can be written as follows:where r , k 3 , and k e are the parameters identified experimentally.…”
Section: Mechanical Modelmentioning
confidence: 99%
“…Different configuration parameters and material properties of the wire rope have been proposed (Carboni and Lacarbonara, 2016a). Based on the method of polynomial fitting of the restoring force and damping force of the wire rope (Zheng et al, 2021), the curve fitting parameters of various configurations of the wire rope are listed in Table 1.…”
This paper proposes a novel damping device, NiTiNOL–steel wire rope, which is a vibration absorber with linear hysteresis damping, nonlinear damping, and nonlinear stiffness. This study is the first to couple the NiTi–ST damping device with the functionally graded material beam model. The Runge–Kutta method and harmonic balance method are adopted to study the resonant response of the system from the numerical and analytical aspects, respectively. It proves that NiTi–ST provides effective vibration reduction for FGM beam structures. In addition, special attention is paid to the appearance of the closed detached response, which significantly affects the resonant peak value of the system. And the CDR phenomenon is eliminated by adjusting the parameters, and a good damping effect is achieved under large external excitation. Results confirm that NiTi–ST is a promising nonlinear damper that serves as a new method for the vibration suppression of continuum structures.
“…ÞdA and η is the damping coefficient of the FGM beam. And the correction parameters are given by χ ¼ 0:2 (Zheng et al, 2021). Furthermore, the damping force provided by NiTi-ST can be written as follows:…”
Section: Mechanical Modelmentioning
confidence: 99%
“…The system is composed of a functionally graded material (FGM) beam with a length, width, and height of L, B, and H, respectively, coupled with a NiTi–ST damper. The left side of the beam is constrained as the fixed end, whereas the right end of the pipe is supported by a linear spring (Zang et al, 2021; Zheng et al, 2021a). Figure 1.System diagrammatic drawing.…”
Section: Mechanical Modelmentioning
confidence: 99%
“…Their variational terms can be expressed as follows:where (I0,I1,I2)=∫−H/2H/2ρ(z)(1,(z−z0),(z−z0)2)dA and η is the damping coefficient of the FGM beam. And the correction parameters are given by χ=0.2 (Zheng et al, 2021). Furthermore, the damping force provided by NiTi–ST can be written as follows:where r , k 3 , and k e are the parameters identified experimentally.…”
Section: Mechanical Modelmentioning
confidence: 99%
“…Different configuration parameters and material properties of the wire rope have been proposed (Carboni and Lacarbonara, 2016a). Based on the method of polynomial fitting of the restoring force and damping force of the wire rope (Zheng et al, 2021), the curve fitting parameters of various configurations of the wire rope are listed in Table 1.…”
This paper proposes a novel damping device, NiTiNOL–steel wire rope, which is a vibration absorber with linear hysteresis damping, nonlinear damping, and nonlinear stiffness. This study is the first to couple the NiTi–ST damping device with the functionally graded material beam model. The Runge–Kutta method and harmonic balance method are adopted to study the resonant response of the system from the numerical and analytical aspects, respectively. It proves that NiTi–ST provides effective vibration reduction for FGM beam structures. In addition, special attention is paid to the appearance of the closed detached response, which significantly affects the resonant peak value of the system. And the CDR phenomenon is eliminated by adjusting the parameters, and a good damping effect is achieved under large external excitation. Results confirm that NiTi–ST is a promising nonlinear damper that serves as a new method for the vibration suppression of continuum structures.
In this study, a coupling model of fluid-conveying pipes made of functionally graded materials (FGMs) with NiTiNOL-steel (NiTi-ST) for vibration absorption is investigated. The vibration responses of the FGM fluid-conveying pipe with NiTi-ST are studied by the Galerkin truncation method (GTM) and harmonic balance method (HBM). The harmonic balance solutions and the numerical results are consistent. Also, the linearized stability of the structure is determined. The effects of the structure parameters on the absorption performance are also studied. The results show that the NiTi-ST is an effective means of vibration absorption. Furthermore, in studying the effect of the NiTi-ST, a closed detached response (CDR) is first observed. It is noteworthy that the CDR may dramatically change the vibration amplitude and that the parameters of the NiTi-ST may determine the emergence or disappearance of the CDR. This vibration absorption device can be extended to offer more general vibration control in engineering applications.
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