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Static and Dynamic Analysis Using Modular Analysis of IPMC

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Static and Dynamic Analysis Using Modular Analysis of IPMC Condenser Beam Under Centralized and Extensive Loading


 

Chapter Two: Using Analytical Method for Free Vibration Analysis of IPMC 8 Materials

2-1. Equations of Motion: 8

2-1-1. Material properties: 8

[1] One of the types of electrically active polymers (EAPs) [2]. EAPs include ferroelectric polymers conductive polymers nanoelectric carbon dielectrics and ionic polymer gels due to their application in space military industries. And robotics are very valuable.

The benefits of EAP materials are low weight, quiet, easy mechanics, low power consumption and high mobility. In addition, IPMCs also have the پ

 

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Static and Dynamic Analysis Using Modular Analysis of IPMC Condenser Beam Under Centralized and Extensive Loading


 

Chapter Two: Using Analytical Method for Free Vibration Analysis of IPMC 8 Materials

2-1. Equations of Motion: 8

2-1-1. Material properties: 8

[1] One of the types of electrically active polymers (EAPs) [2]. EAPs include ferroelectric polymers conductive polymers nanoelectric carbon dielectrics and ionic polymer gels due to their application in space military industries. And robotics are very valuable.

The benefits of EAP materials are low weight, quiet, easy mechanics, low power consumption and high mobility. In addition, IPMCs also have the ability to function in aquatic environments, which has the advantage of being used in the manufacture of synthetic materials.

Figure 1-1 IPMC beam with a deformable head

 

 

These types of EAPs tend to bend in response to an electrical actuator. This is due to the movement of cations in the polymer network. There are mainly two types of polymers Nafion (DuPont perfluorosulfonate product) and filomion (perfluorocarboxylate, Asahi glass Japan product) as the base polymer for the production of these composites.

Dryonomers (ionic polymers) used as matrices There are ionizable functional groups (generally sulfonate and carboxylate) that make up to 10% of the monomer unit in the polymer, and are neutralized with metal ions such as sodium or zinc. . The presence of these groups results in higher mechanical strength and greater chemical resistance of the composite. The presence of ions causes crosslinking in the network and acts as an enhancer on the other hand, which is another reason for the mechanical strength of the composite.

By applying the electric field and moving the cations in the network of polymer matrix molecules that have ionizable functional groups, they have to move in order to strike an electrical balance in the network and create a curvature in the composite.

We need low voltages in the range of 1-10V and frequencies lower than 1Hz to excite the IMPC network cations and create a curve.

 

Figure 1-2 The microscopic structure of IPMC in free and open modes

 

1-2 Overview of Research
As mentioned, IPMCs are new manufactured materials to meet specific performance and goals by gradually changing properties in one or more directions. This bonding prevents composite material defects. For example, layering or cracking may be due to high inter-layer stresses, crack initiation and propagation due to high plastic deformation in joint seasons and so on. In general, IPMC materials are made of a mixture of polymers and a combination of different metals.

As some examples of research, Abboudi and his colleagues proposed a high-order shear theory for structures made of IPMC materials. Amal et al. [8] investigated the linear vibration behavior of beams made of IPMC material using the finite element method. Wong [3] and Tian [4] [18] determined the thermal field in a beam made of IPMC material under different temperature conditions using the finite difference method. Na [5] and Kim [6] [22] provided a three-dimensional analysis of the buckling behavior of structures made of IPMC materials. Sand [7] [25] investigated the post-buckling behavior of sheets made of IPMC material based on first-order shear shear theory by considering the change of material properties with temperature change.

The governing equations of motion of the composite beam can be derived from the composite plate equations with some assumptions. Abramovich and Luchitz assumed that the transverse bending of the beam, expressed in the y direction (Fig. 1-3), was negligible with respect to the longitudinal deformation. This assumption leads to the elimination and uncertainty of the relationship between tensile and shear, and bending and torsion. Therefore, the theory is limited and is limited to isotropic transverse multilayer beams.Himaradi and Chandrashekhara conclude that assuming that the stress and momentum results in the transverse direction show that the motion in the y direction is approximately zero. That is, the equations of motion of the composite multilayer beams follow the first-order theory of plate shear deformation (FSDPT). These equations are called FSDBT2 in this study. Dadfrenia developed a new theory for composite multilayer beams, assuming that the transverse stresses and all their derivatives are negligible relative to the transverse coordinates in the plane motion equations. He called this theory FSDBT [14]. In order to analyze the composite shells of the Liberska et al layer layered composite transforms the governing differential equations using the first-order differential equations using the state-space technique. The main uses of this method are in the differential equations of the order of six or higher; but for the analysis of beams taller or higher than the size ratio of 20, unfavorable conditions occur in the system of equations characteristic. Nozier and Reddy [16] presented an analytical solution technique for resolving this problem in multilayer plates. Chakraberti et al [17] developed a new beam element for studying the thermoelastic behavior of shear-shaped IPMC beam structure. Qing and Yen presented a numerical solution using the Petro Galerkin non-mesh localization method for two-dimensional solids made of targeted materials. Previously, they used a similar non-meshing method to calculate the thermoelastic unstable deformation of the IPMC beam under non-uniform convective thermal load. Qian and Qing [20] used a non-meshing method to investigate the free and forced vibration of an IPMC conductor beam. Jiang and Yang [21] Free Vibrations, et al

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