Static Finite Element Analysis Research Articles

Finite element static analysis of polyurethane-sandwiched skewed bridge decks

Bridge decks are the surface structure of bridges that carry the weight of the vehicles. But nowadays, the need for a sustainable approach is required. So, the use of a sustainable material for construction and retrofitting purposes is the need of the hour. In the present study, a novel synthetic material polyurethane has been used in the sandwiched deck of the bridges. The study deals with the variation in skew angles to determine the response of the sandwiched bridge deck under Indian loading conditions. In this study, the response of deflection, equivalent stress, and stresses in $X$ and $Y$ directions on the bridge deck due to the variation in skewness, the thickness of the steel plate and the thickness of polyurethane deck are analysed using finite element method. Further, the bridge deck is sandwiched using steel and polyurethane having different thicknesses, and the responses are recorded. Afterward, a bridge deck is modelled using only polyurethane, to pursue sustainability and justify the RRR (reduce, reuse, and recycle) concept of waste management. The models are developed and analysed using ANSYS workbench. On increasing the skew angle for the sandwiched deck, the deflection and stresses are decreased; so, the skewed deck is more effective than the straight one. It is found that the deflection and stresses are reduced about 8 times and 4 times respectively, when the thickness of polyurethane is increased from 250 mm to 1500 mm. Therefore, it is a good and effective solution for pedestrian bridges and many other such small-scale applications.

Static Finite Element Analysis of Roll Cage of Patrolling ATV Developed by CSMT, BSF Academy Tekanpur

Static Finite Element Analysis of Roll Cage of Patrolling ATV Developed by CSMT, BSF Academy Tekanpur

Structural Optimization and Process Scheme of Large-span Gantry Crossbeam based on Response Surface

A comprehensive design method for large-span gantry beams, combining process techniques and structural optimization, is proposed to address significant deflection deformation issues caused by their own gravity and the gravity of front attachments. Selecting the beam section type, finite element static analysis is performed using ANSYS Workbench for both cast and welded gantry beams. The maximum static deformation values of the beams for both process schemes are compared to determine the process scheme for the large-span beam. Subsequently, multiple structural dimensions of the welded gantry beam are parameterized, and sensitivity analysis is conducted to determine the degree of influence of each parameter on the optimization objective. Parameters with relatively small effects on the corresponding objectives are eliminated. A response surface multi-objective genetic algorithm optimization based on Box-Behnken design experimental design method is employed to minimize deflection deformation and reduce weight. The response surface model is fitted with expressions, and variance and significance analyses are conducted to validate the model's reliability. The optimal Pareto solutions are determined based on the response surface model using a multi-objective genetic algorithm. A comparison between the beams before and after optimization shows a reduction of 0.052 in maximum static deformation of the welded beam, representing an 8.3% decrease. Additionally, the mass decreases by 1710 kg, indicating a 14.63% reduction, demonstrating significant optimization effects.

Mechanical Performance Investigation of a Flat-Roof and Four-Slope Folded Plate Structure

The flat-roof and four-slope folded plate structure is a space thin-walled structure composed of four trapezoidal plates and a rectangular plate parallel to the bottom surface, which is widely used in various engineering applications. In order to clarify the force transmission path and stress distribution law under the action of this structural load, the folded plate structures were made by utilizing the plexiglass with the thicknesses of 3 and 4 mm, respectively, and had the simple support on opposite sides and fixed support on another opposite side. Then, the static load tests and ANSYS finite element analysis were implemented, and the results were compared. It shows that the test results are basically consistent with the finite element calculation results, the maximum stress values of the folded plate structure along the X and Y directions appear in the same position, and the maximum stress value of a 3 mm thick folded plate structure is greater than that of 4 mm. The junction position of the roof and the slope plate is the dangerous section, and the special treatment should be made for this section to prevent the damage of folded plate structure in the practical engineering. Moreover, some reasonable measures also should be taken to meet the design requirements of the plate–plate junction position.

Evaluate the effect of bone density variation on stress distribution at the bone-implant interface using numerical analysis.

The current study aims to comprehend how different bone densities affect stress distribution at the bone-implant interface. This will help understand the behaviour and help predict success rates of the implant planted in different bone densities. The process of implantation involves the removal of bone from a small portion of the jawbone to replace either a lost tooth or an infected one and an implant is inserted in the cavity made as a result. Now the extent of fixation due to osseointegration is largely dependent on the condition of the bone in terms of the density. Generally, the density of the bone is classified into four categories namely D1, D2, D3, and D4; with D1 being purely cortical and D4 having higher percentage of cancellous bordered by cortical bone. A bone model with a form closely resembling the actual bone was made using 3D CAD software and was meshed using Hyper Mesh. The model was subjected to an oblique load of 120 N at 70° to the vertical to replicate occlusal loading. A finite element static analysis was done using Abaqus software. The stress distribution contours at the bone-implant contact zone were studied closely to understand the changes as a result of the varying density. It was revealed that as the quantity of the cancellous bone increased from D1 to D4 the cortical peak stress levels dropped. The bone density and the corresponding change in the material characteristics was also responsible for the variation in the peak stress and displacement values.

Structural Stability and Weak Points Mechanism of a High and Vertical Enclosed Isolated Phase Bus

Recently, with the rapid rise of new energy generation, pumped storage power stations also have experienced rapid development. Due to the considerable vertical height of these power stations, high and vertical enclosed isolated phase buses (EIPB) are more and more widely used. This type of high and vertical EIPB structure differs from the horizontal EIPB structure, as it is more significantly influenced by the gravitational load during actual operation. Thus, it is crucial to investigate the stability of the novel high and vertical EIPB structure under its own gravity load. In this study, the strength of the I-beam and cross-arm of the EIPB under the influence of the gravitational load was studied through analytical calculations and finite element static analysis. The results indicate that the strength of the I-beam and cross-arm is within the threshold of the corresponding material’s load-bearing capacity, demonstrating the stability of the EIPB structure. This work holds significant value for the structural design and further optimization of high and vertical EIPB.

Advancing Modular Steel Structures: An Innovative Paradigm in Corner Connections for Enhanced Stability and Efficiency

This research addresses the structural challenges inherent in modular steel connections, exploring innovative approaches beyond traditional methods. Pre-fabricated modular steel structure connections normally incorporate a combination of welding, bolts, plates, and innovative methods, including post-tensioning and corner box inter-locking techniques. These connections are usually tested in a cantilever beam setup to assess their strength and structural behavior. As the load increases, the connection's resistance decreases, materials weaken, and deflection grows steadily until structural failure occurs. This often results in a low slip resistance within the connection corner, highlighting the need for upgrading and enhancing corner connections in pre-fabricated modular steel structures. Previous studies have mainly focused on variations of traditional techniques, such as different bolt setups and plate thicknesses for square sections of hollow steel members. This research proposes and analyzes a novel corner fitting connection applicable for connecting four modular units, forming an inter-sliding box design. The proposed connection, secured by bolts, significantly reduces construction time, eliminates the need for expert labor, and minimizes human error. The static finite element analysis demonstrates that the performance of the proposed inter-modular connection consistently falls within the rigid of both Eurocode and UK standards for service load, transitioning to semi-rigid towards the ultimate. Additionally, substantial improvements in displacement along the X, Y, and Z directions at the connection point and an increase in the initial rotation from 18.3 KN.m to 85 KN.m highlight the effectiveness of the proposed technique in enhancing pre-fabricated modular steel connections.

Design and testing of an arc resistant power transformer with a reinforced turret

This paper presents the design and testing of a full-scale 510-kV, 415-MVA HVDC converter transformer prototype designed to withstand the resulting pressure of a 20 MJ low-impedance fault in oil occurring inside a bushing turret, which is one of the major causes of transformer fires. In addition, there is currently few studies and recommendation regarding this failure mode, which is the main motivation for initiating this study. In total, two full-scale units were designed and built: First consisting of a reinforced turret and a transformer tank designed for arc resistance using nonlinear static finite-element analysis with design pressures retrieved from explicit dynamic simulations, and a second reference unit, with a conventional turret design. Both units were then experimentally tested with a methodology based on injecting pressurized air into the water-filled units, with test equipment dimensioned and calibrated to achieve a linear injection of energy equivalent to a 23 MJ arc in oil in 100 ms. The reinforced turret and transformer tank was able to contain the arc energy and performed as predicted by the nonlinear static and explicit dynamic simulations. The energy levels used in tests are, to our knowledge, the highest reported for a low-impedance fault occurring inside a turret, demonstrating the feasibility of designing a transformer to safely withstand mentioned faults without rupturing. The suggested reinforced turret is a robust and maintenance free solution offering passive protection against internal arcing, without the need of additional relive devices. It will significantly reduce the risk of fires, improve overall safety of the substation, and has the potential to be optimized for different arc energy levels and voltage class for turrets, cable boxes and chimneys.

Design and Research of Series Actuator Structure and Control System Based on Lower Limb Exoskeleton Rehabilitation Robot

Lower limb exoskeleton rehabilitation robots have become an important direction for development in today’s society. These robots can provide support and power to assist patients in walking and movement. In order to achieve better interaction between humans and machines and achieve the goal of flexible driving, this paper addresses the shortcomings of traditional elastic actuators and designs a series elastic–damping actuator (SEDA). The SEDA combines elastic and damping components in parallel, and the feasibility of the design and material selection is demonstrated through finite element static analysis. By modeling the dynamics of the SEDA, using the Bode plot and Nyquist plot, open-loop and closed-loop frequency domain comparisons and analyses were carried out, respectively, to verify the effect of damping coefficients on the stability of the system, and the stiffness coefficient ks = 25.48 N/mm was selected as the elastic element and the damping coefficient cs = 1 Ns/mm was selected as the damping element. A particle swarm optimization (PSO)-based algorithm was proposed to introduce the fuzzy controller into the PID control system, and five parameters, namely the the fuzzy controller’s fuzzy factor (ke, kec) and de-fuzzy factor (kp1, ki1, kd1), are taken as the object of the algorithm optimization to obtain the optimal fuzzy controller parameters of ke = 0.8, kec = 0.2, kp1 = 0.5, ki1 = 8, kd1 = −0.1. The joint torque output with and without external interference is simulated, and the simulation model is established in the MATLAB/Simulink environment The results show that when fuzzy PID control is used, the amount of overshooting in the system is 14.6%, and the regulation time is 0.66 s. This has the following advantages: small overshooting amount, short rise time, fast response speed, short regulation time, good stability performance, and strong anti-interference ability. The SEDA design structure and control method breaks through limitations of the traditional series elastic actuator (SEA) such as its lack of flexibility and stability, which is very helpful to improve the output effect of flexible joints.

Rate induced thermomechanical interactions in NiTi tensile tests on strips

The paper uses tensile experiments on NiTi strips at different displacement rates to establish and simulate the thermomechanical interactions caused by the latent heat of the reversible transformation between the austenitic and martensitic phases. The evolution of deformation in the specimen is synchronously monitored with digital image correlation, and the temperature field through infrared imaging, essential for structural modeling. Transformation leads to localized deformation that propagates through the specimen, while the latent heat released/absorbed at the propagating fronts locally heats/cools the specimen. The sensitivity of the transformation stress to temperature results in a complex interaction between the heat transfer conditions and the nucleation and evolution of transformation in the specimen. At low rates of loading, the alternate phase propagates nearly isothermally with a small number of fronts producing relatively flat stress plateaus. Higher rates lead to significant heating/cooling that results in progressive nucleation of multiple fronts and apparent "hardening" responses. The experiments are simulated in a three-dimensional static displacement transient temperature finite element analysis, using a new fully coupled thermomechanical constitutive model. Transformation strain and entropy are its internal variables whose evolution is governed by the motion in the stress-temperature space of a single transformation surface governing both transformations. The prevailing localization is captured by the introduction of softening over the unstable branches of the recorded isothermal material response. The results demonstrate how the important role of the thermal interaction between the specimen and the environment can be addressed. This, together with appropriate calibration of the constitutive and structural model, enable the analysis to reproduce the effect of rate on the recorded response, the evolution of localization patterns, and the associated thermal fields. The results can guide the development of constitutive and structural models of phase transforming materials with strong thermomechanical interactions.

Numerical and experimental study of the residual strength of CFRP laminate single-lap joint after transverse impact

The adhesive joint is one of the efficient joining method in the composite structures, and it is important to comprehend the behavior of adhesive joints during impact in order to design stronger and safer structures. This paper investigates the residual strength of CFRP single-lap joints (SLJs) after transverse impact using both finite element analysis (FEA) and experimental methods. The impact damage FEA model and static tensile strength FEA model are established using the Hashin failure criterion and cohesive zone model. The impact damage results of the SLJs are transferred to static tensile strength FEA model using the restart analysis method. The CFRP single-lap joint models with different impact energies and lap lengths are analyzed. According to the research requirements, a total of 24 SLJ specimens with [45/0/-45/90]s lamination are manufactured, and the impact test and tensile strength test are conducted sequentially. For the SLJs with a 20 mm overlap length but different impact energies (1 J, 2 J, and 4 J), the maximum and minimum residual strength errors are 12.6 % and 6.2 % respectively. The results show that the tensile strength of the joint decreases significantly after impact. Specifically, the residual strength of the SLJ after a 4 J impact is 2902 N, whereas the strength of the non-impact SLJ is 4088 N. When considering the 20 mm, 30 mm, and 40 mm overlap length SLJs with a 4 J impact energy, the errors in the residual strength coefficients between FEA and experiment are all within 3 %. Additionally, the residual strength coefficient of a 40 mm overlap length increases by approximately 10 % compared to a 20 mm overlap length. These results demonstrate that the proposed FEA model can accurately simulate the impact and residual strength of SLJs with reasonable accuracy.

Comparative static FEA of equipment foundations on marine vessels: standard, stiffened, and structural integrated

This study case presents a comprehensive static finite element analysis (FEA) of an equipment foundation aboard a marine vessel, conducted in three distinctive scenarios. The initial analysis adheres to a generalized standard, providing a baseline for structural performance. Subsequently, the same foundation is re-evaluated with the addition of stiffening brackets, aimed at enhancing rigidity and load distribution capabilities. The final analysis transitions from the theoretical models to practical application, examining the foundation as it is truly mounted and integrated within the ship's structure. Each scenario is meticulously compared to assess the impact of design modifications and integration on the foundation's performance.

Diagnostics of Concrete Box Beam Bridges Using Wireless Sensors and Finite Element Analysis

Abstract Three pretensioned adjacent concrete box beam bridges were studied with a structural health monitoring (SHM) paradigm based on strain measurements and finite element static analyses. An accurate model for one bridge and an approximate model for the other two were created using ansys software. The analyses were used to calculate the strains generated by six concentrated loads that mimic the presence of a truck. Pristine and damage scenarios were implemented, and the associated numerical strains were compared to the experimental strains measured with proprietary wireless sensors during a truck test. As the results from the approximate models deviated significantly from the field response of the bridge, the accurate model applied to one bridge was extended to the other two. The comparison between numerical and experimental results revealed the presence of noncritical anomalies related to strain distribution across adjacent beams. Such issues were confirmed with the examination of the historical strains streamed for several months to a repository, using simple data processing strategies. The intellectual contribution of the work resides in the combination of finite element analysis and SHM applied to three existing bridges with very similar structural characteristics. This combination revealed the presence of noncritical issues impossible to be diagnosed with conventional inspection.

Crack-Free Joining of High-Strength AA7055 Sheets by Friction Based Self-Piercing Riveting with the Aid of Numerical Design

Unique friction-based self-piercing riveting (F-SPR) was employed to join high-strength, low-ductility aluminum alloy 7055 for lightweight vehicle applications. This study aimed to maximize the joint strength of the AA7055 F-SPR joint while avoiding cracking issues due to low ductility at room temperature. A fully coupled Eulerian–Lagrangian (CEL) model was employed to predict the process temperature during F-SPR, and the temperature field was then mapped onto a 2D axisymmetric equivalent model for accelerated numerical analysis. The geometry, dimensions, and material strength of the rivet, as well as the depth of the die cavity and plunging depth, were investigated to enhance joint formation. Also, a static finite-element analysis model was developed to predict and analyze the stress distribution in the rivet under different mechanical testing loading conditions. Overall, the numerical model showed good agreement with the experiment results, such as joint formation and mechanical joint strength. With the aid of virtual fabrication through numerical modeling, the joint design iterations and process development time of F-SPR were greatly reduced regarding the goal of lightweight, high-strength aluminum joining.

Optimal mechanical properties of Hydroxyapatite gradient Voronoi porous scaffolds for bone applications — A numerical study

Irregular Voronoi-based lattice (IVL) structures in tissue engineering (TE) have significant potential for bone regeneration. These scaffolds can mimic natural human bone interconnectivity by gradually altering strut thickness (ST) and seed point space (PS), which affects both mechanical and biological characteristics. This paper investigates the impact of design parameters, ST and PS, on Hydroxyapatite (HA) ILV structures’ mechanical properties (elastic modulus (E) and maximum compressive strength (MCS)) and geometrical characteristics (pore number, size, and distribution, surface area (SA), and surface area-to-volume ratio (SA/VR)). Four types of IVL scaffolds were designed; PC-TC (Constant PS-Constant ST), PC-TG (Constant PS-Gradient ST), PG-TC (Gradient PS-Constant ST), and PG-TG (Gradient PS-Gradient ST). The study, conducted through linear static structural finite element analysis (FEA) with maximum stress criteria, underscores the profound impact of irregularity and morphology on mechanical performance and geometrical features. Regarding SA and SA/VR, a comparison between PC-TC with other proposed scaffolds showed a minor improvement for PC-TG, while higher significant improvements were found for both PG-TG and PG-TC. In terms of pores distribution and number, no noticeable improvement was observed for the PC-TG scaffold compared to PC-TC. In contrast, PG-TC and PG-TG lattices demonstrated a variety of pore distributions and approximately doubled pore numbers. Studying mechanical properties, considering E and MCS, showcases substantial gains for PG-TC. It, however, revealed that for the rest of the scaffolds, no enhancement was observed regarding E. Based on these results, gradient PS proved to be more effective than gradient ST in enhancing mechanical performance and geometrical properties. Due to these improvements, this study holds promise for expediting bone regeneration and reducing postoperative complications in bone replacement applications.

Straightness of Central Anatomical Axes of Human Tibia–Fibula System: Role of Fibula and Its Importance in Biomechanics

Abstract Fracture may occur in human lower leg bones considering varying loads acting on them while performing various functions. Implants, commonly used in healing the fractures, must be properly aligned with the bones' anatomical axes for their proper functioning. While attempts to establish tibial anatomical axis have been made previously, combined central anatomical axis of human tibia and fibula remains unexplored. In this study, profiles of individual and combined central anatomical axes of tibia and fibula have been obtained using computed tomography (CT). These profiles are found to be approximately straight with the deviation from straight line for the centroidal axis of the combined system being approximately half of that for the tibia. It is further utilized in assessing the role of fibula in determining the critical stresses in the tibia with the help of static finite element analysis (FEA) of a tibia–fibula model. Even though fibula takes a smaller proportion of the total axial load, its absence increases the compressive stresses in the tibia due to increased bending moments at the critical cross section. Furthermore, FEA has been carried out to understand the clinical significance of the mismatch in the centroidal axis of an implant and its parent bone taking the example of the human tibia alone. FEA suggests that these central anatomical axes are in fact the load bearing axes of the bones and any misalignment of implant with the central anatomical axis may lead to patient discomfort and premature failure of the implant.

Investigating the optimal design of all-on-four technique adopting finite element analysis: the aspect of framework material, kind and position of implants

Nowadays, the dental implant surgery is a sophisticate and accurate sector with techniques increasingly innovative such as rapid prototyping, guided implant surgery and stem cell-based approaches. An example is certainly the use of multiple implants (4–6), instead of several prosthesis in case of human edentulous condition. The aim of this research is to investigate the mechanical behavior of the All-on-Four technique for different boundary conditions such as the value of load, framework material, type and position of implant. The goal was essentially trying to find out, by the application of structural static Finite Element Analysis (FEM), the best design for this specific treatment. After that, a stress-life fatigue numerical analysis was conducted for the optimal configuration in order to estimate the fatigue life in accordance with both Gerber and Goodman mean stress theory. The coupling involved the implants supported by an arch and a human mandible composed of cortical and cancellous part. After the simulations, it was found that the stress/strain field was very sensitive to the boundary conditions imposed. In particular, the position of the implants and the material framework yielded different responses depending on the implant design. Finally the use of ultrashort implants provided a significant decrease in the developed efforts than the long ones if the first premolar position was assumed. More specific, the stress peaks were in the range 100–225MPa for the implants, 300–537MPa for the framework, 50–124MPa for the cortical bone and 3–35MPa for the cancellous bone and they were located essentially in the abutment-framework connection as much as in implant neck-bone coupling. The best design saw the presence of ultra-short implant, first premolar position and Co-Cr alloy as framework material. The fatigue test confirmed the stability of the structure even with dynamic loads, but critical spots were present in the framework. In conclusion, the All-on-Four technique is a valid and safe alternative, even in case of ultrashort implants, for human edentulism care.

Assessment of biomechanical behavior of immature non-vital incisors with various treatment modalities by means of three-dimensional quasi–static finite element analysis

The objectives of this study were to evaluate the stress distribution and risk of fracture of a non-vital immature maxillary central incisor subjected to various clinical procedures using finite element analysis (FEA). A three-dimensional model of an immature central incisor was developed, from which six main models were designed: untreated immature tooth (C), standard apical plug (AP), resin composite (RC), glass-fibre post (GFP), regeneration procedure (RET), and regeneration with induced root maturation (RRM). Mineral trioxide aggregate (MTA) or Biodentine® were used as an apical or coronal plug. All models simulated masticatory forces in a quasi–static approach with an oblique force of 240 Newton at a 120° to the longitudinal tooth axis. The maximum principal stress, maximum shear stress, risk of fracture, and the strengthening percentage were evaluated. The mean maximum principal stress values were highest in model C [90.3 MPa (SD = 4.4)] and lowest in the GFP models treated with either MTA and Biodentine®; 64.1 (SD = 1.7) and 64.0 (SD = 1.6) MPa, respectively. Regarding the shear stress values, the dentine tooth structure in model C [14.4 MPa (SD = 0.8)] and GFP models [15.4 MPa (SD = 1.1)] reported significantly higher maximum shear stress values compared to other tested models (p < 0.001), while no significant differences were reported between the other models (p > 0.05). No significant differences between MTA and Biodentine® regarding maximum principal stress and maximum shear stress values for each tested model (p > 0.05). A maximum strain value of 4.07E−03 and maximum displacement magnitude of 0.128 mm was recorded in model C. In terms of strengthening percentage, the GFP models were associated with the highest increase (22%). The use of a GFP improved the biomechanical performance and resulted in a lower risk of fracture of a non-vital immature maxillary central incisor in a FEA model.

Modeling and Simulation of Robotic Palpation to Detect Subsurface Soft Tissue Anomaly for Presurgical Assessment

Abstract Surgical Haptics is an emergent field of research to integrate and advance the sense of robotic touch in laparoscopic tools in robot-assisted minimally invasive surgery. Haptic feedback from the tooltip and soft tissue surface interaction during robotic palpation can be leveraged to detect the texture and contour of subsurface geometry. However, precise force modulation of the robotic palpating probe is necessary to determine stiff inclusions of the anatomy and maneuver successive manipulation tasks during surgery. This paper focuses on investigating the layered deformations associated with different force profiles involved in manipulating the superficial anatomy of soft tissues during dynamic robotic palpation to determine the underlying anomaly. A realistic three-dimensional (3D) cross-sectional soft tissue phantom with anatomical layers and tumor, as an anomaly, is designed, modeled, and analyzed to examine the effects of oriented palpating forces (0–5 N) of a 7 DOF robot arm equipped with a contoured palpation probe. Finite element static structural analysis of oriented robotic palpation on the developed 3D soft tissue phantoms (with and without anomaly) reveals the soft tissue layer deformations and associated strains needed to identify presence of stiffer inclusions or anomaly during Robotic palpation. The finite element analysis study shows that the difference in deformations of soft tissue layers (e.g., underlying myofascial layers) under stiffer inclusions at different force levels can facilitate haptic feedback to acquire information about subsurface tumors. The deformation variations are further compared to assess better palpation orientations for subsurface anomaly detection.

Analytical Prediction of Static Flux-Linkage Characteristics of Switched Reluctance Machine

This paper deals with the analytical prediction of static flux-linkage characteristics of switched reluctance (SR) machines, which have emerged as competitive candidates in various applications, including automotive, aerospace, machine tools, and renewable energy. Specifically, this paper proposes a novel flux-tube-based approach to derive closed-form analytical expressions for the effective air-region permeance at the aligned and unaligned rotor positions in terms of machine dimensions. The proposed method does not require preliminary finite element analysis (FEA) and includes the effect of rotor pole height on the effective air-region permeance. The predictions by the proposed method are compared with the results of FEA and three existing analytical methods, considering seven different SRM designs and different sets of machine dimensions. The results of the proposed method are found to be accurate and comparable to those of FEA in all cases. Further, based on magnetic material characteristics and machine dimensions, the static flux-linkage characteristics at the aligned and unaligned rotor positions are predicted. The aligned and unaligned flux-linkage characteristics of a 10000-rpm, 5-kW SR machine, thus predicted, are verified through FEA and experiments. As an application of the proposed analytical method, electromagnetic design of a 40-kW, 80000-rpm, 600-V SRM is carried out and is validated through static FEA and simulations.